The domestic price of shoes is $80. After trade the price of a pair of shoes is $60. After trade this country will import

Answers

Answer 1

The trade this country will import is given by the option (C) 300 pair of shoes.

The number of shoes exported will be calculated by the formula -

Import = quantity demanded - quantity supplied. The formula is based on the concept that the import of shoes will be carried out once the manufacturing is more than the demand.

The graph indicates the quantity demanded is 1000 and the quantity supplied is 1300. Keep the values in formula to find imports.

Imports = 1300 - 1000

Performing subtraction on Right Hand Side of the equation

Imports = 300

Hence, the import is 300.

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The complete question is attached in figure.

The Domestic Price Of Shoes Is $80. After Trade The Price Of A Pair Of Shoes Is $60. After Trade This

Related Questions

cos (α-β)/sinαcosβ = complete the identity

Answers

Answer:

 consider the following data set 10 14 12 16 10 13 14 12 11 which of the relative frequency for the data value of 14

Step-by-step explanation:

Which graph represents the function f(x) = -2sin(x) +37

Which graph represents the function f(x) = -2sin(x) +37

Answers

The graph that represents the function f(x) = -2sin(x) +37 is graph D

How to explain the graph

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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Which graph represents the function f(x) = -2sin(x) +37

For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x

c = (Type an integer or a decimal)

a = (Type an integer or a decimal)

R = % (Simplify your answer. Type an integer or a decimal)

Answers

The parameters of the exponential function in this problem are given as follows:

c = 1.1.a = 0.56.R = -56%.

What is an exponential function?

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

c is the initial value, value assumed by y when t = 0.a is the decay rate.

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

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IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15.
(a) Find the IQ scores that represent the bottom 35%.
(b) Find the IQ score that represents the 3rd Quartile.
(c) Find the IQ score for the top 5%.

Answers

Answer:

a) IQ scores of 94.2 and below represent the bottom 35%.

b) An IQ score of 110.1 represents the 3rd quartile.

c) IQ scores of 124.7 and higher are in the top 5%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that \(\mu = 100, \sigma = 15\)

(a) Find the IQ scores that represent the bottom 35%.

The 35th percentile and below, in which the 35th percentile is X when Z has a p-value of 0.35, so X when Z = -0.385.

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.385 = \frac{X - 100}{15}\)

\(X - 100 = -0.385*15\)

\(X = 94.2\)

IQ scores of 94.2 and below represent the bottom 35%.

(b) Find the IQ score that represents the 3rd Quartile.

This is the 100*3/4 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.675 = \frac{X - 100}{15}\)

\(X - 100 = 0.675*15\)

\(X = 110.1\)

An IQ score of 110.1 represents the 3rd quartile.

(c) Find the IQ score for the top 5%.

IQ scores of at least the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.645 = \frac{X - 100}{15}\)

\(X - 100 = 1.645*15\)

\(X = 124.7\)

IQ scores of 124.7 and higher are in the top 5%.

Nolan is using substitution to determine if 23 is a solution to the equation. Complete the statements.

j – 16 = 7 for j = 23

First, Nolan must substitute
for
.

To simplify, Nolan must subtract
from
.

23
a solution of the equation.

Answers

Answer:

Step-by-step explanation:

Given the equation j – 16 = 7, If Nolan is using substitution to determine if 23 is a solution to the equation, then Nolan need to make j the subject of the formula from the equation. The following statements must therefore be made by Nolan.

First, Nolan must substitute for the value of j in the equation.

To simplify, Nolan must subtract the value of  7 from both sides to have;

j – 16 - 7= 7 - 7

j – 23 = 0

Then Nolan must add 23 to both sides of the equation to get the value of j as shown;

j – 23 + 23 = 0+23

j = 23

23 is therefore a solution to the equation

Answer:First, Nolan must substitute 23 for j.To simplify, Nolan must subtract 16 from 23. 23 is a solution of the equation.

Step-by-step explanation:

I got it right on Edge

How many inches are in 3 feet 8 inches

Answers

Answer:

44

Step-by-step explanation:

3 x 12 = 36 + 8 = 44

what is the slope of the line shown on the graph?

what is the slope of the line shown on the graph?

Answers

Answer:

3/4

Step-by-step explanation:

Ayana has $730 in an account. The interest rate is 3% compounded annually.
To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer: $795.70.

Step-by-step explanation: To calculate the amount of interest that Ayana will earn in 3 years, we need to first determine the annual interest rate. If the interest rate is 3% compounded annually, then the annual interest rate is 0.03.

Next, we need to calculate the total amount of interest that Ayana will earn over the 3 year period. To do this, we can use the formula for compound interest: A = P(1 + r/n)^nt, where A is the total amount of interest earned, P is the principal (initial amount of money in the account), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $730, r = 0.03, n = 1 (since the interest is compounded annually), and t = 3. Plugging these values into the formula, we get:

A = $730(1 + 0.03/1)^1*3 = $730(1.03)^3 = $730 * 1.09 = $795.70

Therefore, Ayana will earn $795.70 in total interest over the 3 year period. To the nearest cent, this is $795.70.

Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process

Answers

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

what is amount ?

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?

19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of

Answers

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of
19Select the correct answer.A developer buys an empty lot to build a small house. What is the area of

Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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can i have help with this pls, no one will teach me it

can i have help with this pls, no one will teach me it

Answers

Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Ariana and Leon hung out at the mall on Saturday. They spent 1 hour shopping for clothes and 55 minutes at the food court. Then they spent 2 hours and 10 minutes at the video arcade before heading home. It was 1:40 P.M. when Ariana and Leon left the mall. What time did they start shopping for clothes?

Answers

By answering the above question, we may state that As a result, around expressions 10:35 AM, Ariana and Leon began their clothing shopping.

what is expression ?

In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.  

We must take the time they spent at the mall overall from the moment they departed in order to determine when Ariana and Leon began looking for clothing.

To make adding up the times easier, let's first convert all the times to minutes:

Clothing shopping takes an hour, or 60 minutes.

Restaurant: 55 minutes

In a video arcade, two hours are equal to 120 minutes plus 10 minutes.

Total time spent at the mall is 245 minutes (60 + 55 + 130).

If they left the mall at 1:40, then we need to take 245 minutes away from that time.

1:00 PM minus 245 minutes equals 10:35 AM.

As a result, around 10:35 AM, Ariana and Leon began their clothing shopping.

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Complete the table please help

Complete the table please help

Answers

Can you put the rest of the question

Mrs. Galicia is creating a bunny farm. The farm starts with 300 bunnies and is growing at a rate of 15.25% per month. How many months will it take for the farm to double in size? *must solve using log/ln method* * DO NOT round/estimate during calculation steps* * Round your final answer, t, to 4-decimal places*

Answers

6.55 months? i dont know for sure but i tried

The six faces of a cube are painted black. The cube is then cut into \(5^3 = 125\) smaller cubes, all the same size. One of the small cubes is chosen at random and rolled. What is the probability that when it lands, the face on the top is black?

Answers

Answer:

The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Step-by-step explanation:

We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.

We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.

This probability is equal to the proportion of black area in the total area of the cube.

We can define the side of the original cube as A=5a, being a the side of the small cubes.

The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:

\(S_b=6\cdot A^2=6\cdot(5a)^2=6\cdot25a^2=150a^2\)

The total area of the 125 small cubes is:

\(S=125(6a^2)=750a^2\)

Then, the ratio of black surface to the total surface is:

\(s_b/s=(150a^2)/(750a^2)=0.2\)

Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.

Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%

Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.

Pie chart values20%. Rice15%. OthersPulses. 30%maize 20%wheat 15%Percentage distribution of products

Answers

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

How to calculate the value of pulses exported?

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72

Answers

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

What is median of a data set?

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

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(x-3)(x-4)/(x-4)(x-4)

Answers

Answer:

(x-3) (x-4)/(x-4)

x(x-4)-3 (x-4)/(x-4)

this is the answer!

if you have any problem tell me I will help you

Answer:

the answer is on the picture

(x-3)(x-4)/(x-4)(x-4)

Find the surface area.
15 m

Find the surface area.15 m

Answers

Answer:

706.858347058

Step-by-step explanation:

equation- 4pi(r)^2

Answer:

15 in2

Step-by-step explanation:

3.14 * 15 m=15 in^2

The product of 3 and a number is 39

Answers

Answer:

Algebraic expression ; 3x = 39

Step-by-step explanation:

Let the unknown number be x

\(3\times x = 39\\\\3x = 39\)

Further solving

\(\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{39}{3}\\\\Simplify\\\\x =13\)

The product of 3 and a number is 39

Answer:

13

Step-by-step explanation:

the product of 3 and a number

that means 3*something

we can call something "x"

so we have

3*x = 3x

is 39

That means that something is equal to 39

let me write it

something = 39

but we know that this something is 3x

so we have

\(3x=39\\\\\frac{1}{3}*3x=\frac{1}{3}*39\\\\x=\frac{39}{3} \\\\x=\frac{3*13}{3} \\\\x=13\)

so the number is 13

A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°​

Answers

The perimeter of the pond is 2.92 meters.

What s a right-angle triangle:

A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.

The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

The perimeter of a right-angled triangle is the sum of the lengths of its three sides.

Here we have

The Hypotenuse of the triangle is 1.46 m    

The angle between hypotenuse and perpendicular height = 73°

From triagonometric ratios,

=> cos A = Perpendicular height/ Hypotenuse.

=> cos (73) = Perpendicular height/1.46

=> Perpendicular height = 1.46 × 0.29 = 0.42 m

As we know from Pythagoras' theorem,

Hypotenuse² = side² + side²    

Side = √Hypotenuse² - side²  

= √[(1.46)²- (0.42)²]  = 1.04

Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04

Hence, perimeter of the pond =  1.46 + 0.42 + 1.04 = 2.92 meters  

Therefore,

The perimeter of the pond is 2.92 meters.

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The complete Question is given below

A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give

The graph below shows the solutions to which inequality?

A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0

The graph below shows the solutions to which inequality?A. x^2-3x+3 0B. x + 3x-3 &lt;0C. x-3x+3&lt;0D.

Answers

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

What is the solution of the inequality?

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Use the Distributive Property to complete the equivalent expression

4(y – 3) =

Answers

Answer:

4y - 12

Step-by-step explanation:

I hope this helps

Answer:

4y - 12

Step-by-step explanation:

Multiply 4 to both sides.

4 times y is 4y

4 times -3 is -12

Solve the following quadratic inequality x^2+x-6>0

Answers

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

HELP ME HOW MANY STARS ARE THERE

Answers

Answer:

9,096

Step-by-step explanation:

and no this is not the wrong answer I have the same answer on my homework I did last week and its correct

Answer:

there are infinity number of stars and we can't count it

Step-by-step explanation:

if a star dies it becomes supernova nebula or black hole

Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points

Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence

Answers

The relation that can not be supported by the evidence in the image is option B

What happens when a transversal cuts a parallel line?

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.

Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15


Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.

Answers

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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please send help!!! i need help on this and a few others!!

please send help!!! i need help on this and a few others!!

Answers

Given

\(\begin{gathered} P(0,-4) \\ Q(5,1) \end{gathered}\)

Solution

Step 1

Find the slope

Formula

\(\begin{gathered} \text{Slope (M)=}\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}\)

Given

\(\begin{gathered} x_1=0_{} \\ x_2=\text{ 5} \\ y_1=\text{ -4} \\ y_2=\text{ 1} \end{gathered}\)

\(\text{Slope (M)=}\frac{1-(-4)}{5-0}=\frac{5}{5}=1\)

Step 2

Find the equation of a line

\(\begin{gathered} y-y_1=m(x-x_1) \\ \end{gathered}\)

We can choose any point either P or Q

\(\begin{gathered} P(0,-4) \\ x_1=0 \\ y_1=-4 \end{gathered}\)\(\begin{gathered} y-y_1=m(x-x_1) \\ y-(-4)=1(x-0) \\ y+4=x \\ y=x-4 \end{gathered}\)

The final answer

\(y=x-4\)

This second H-shaped polygon is a scaled copy of the first

Answers

Look at the figure

AB and A'B' are corresponding sides

A and A' are corresponding points

B and B' are corresponding points

In this problem the big figure and the small figure are similar

that means

The corresponding sides are proportional

To find out the scale factor

divide A'C'/AC

we havr

A'C'=1 unit

AC=4 units

substitute

1/4=0.25

the scale factor is 0.25

is less than 1 so

is a reduction

Part 3

Figure B is the small figure

Figure A is the big figure or original figure

so

Verify each options

Option A is not true

Because figure B is not larger than figure A

Option B

The option B is true

because the figures are similar, the number of edges and the number of angles is the same

Option C

The option C is not true

The perimeter of figure A is greater than perimeter of figure B

Option D

The option D is true

because the figures are similar, the number of edges and the number

of angles is the same

Option E

The option E is true

Because, if two figures are similar, then the corresponding angles are congruent and the corresponding sides are proportional

This second H-shaped polygon is a scaled copy of the first
This second H-shaped polygon is a scaled copy of the first
This second H-shaped polygon is a scaled copy of the first

Which pair of words describe this system of equations
3y=9x-6
2y-6x=4

Answers

The pair of words that describe the given system of equations is: consistent and dependent.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

It demonstrates the equality of the relationship between the expressions written on the left and the right.

Given equations:

3y=9x-6

2y-6x=4

The first equation can be simplified and written as: y=3x-2

Similarly, the second equation can be written as: y-3x=2

It can be seen that the two equations are the same. Thus, the given system of equations is consistent and dependent.

Learn more about equations here:

https://brainly.com/question/2972832

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