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Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).

Once you have found the missing coordinate use pythagoras to calculate the length of the sides.

Answer:

19. 5/6

20. 1 4/8

21.  1

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

none of the sides are equal angle triangle:so there aren't the same triangles

It should be noted that the addition of 3/4 and 1/16 as a single fraction will be 13/16.

In order to add the fractions 3/4 and 1/16, we need to find a common denominator. The smallest common multiple of 4 and 16 is 16.

First, let's convert 3/4 to have a denominator of 16:

3/4 = (3/4) * (4/4) = 12/16

Now we can add the fractions:

12/16 + 1/16 = 13/16

Therefore, the sum of 3/4 and 1/16 is 13/16.

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Can you put it into a single fraction the addition of 3/4 and 1/16.

Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

I understand that you want a concise explanation with the main answer in the last two lines. The term you're looking for is the calculation that involves dividing the estimated coefficient (b) by its estimated standard error (SEb). This computation is used in statistical analysis to determine the significance of a variable in a regression model.
In a regression analysis, the coefficient represents the slope of the line, showing the relationship between the independent and dependent variables. The standard error of the coefficient (SEb) is an estimate of the variability of the coefficient. By dividing b by SEb, we get a statistic that helps us assess the precision and significance of the estimated coefficient.
Therefore, The computation of the estimated coefficient (b) divided by its estimated standard error (SEb) is called the t-statistic.

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The equilibrium price is $0 and the equilibrium quantity is 5 units.

To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.

Setting Q_d = Q_s, we can equate the equations for demand and supply:

-2Q - 2Q_d = -5 + 3Q_s

Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:

-2Q - 2Q_s = -5 + 3Q_s

Now, let's solve for Q_s:

-2Q - 2Q_s = -5 + 3Q_s

Combine like terms:

-2Q - 2Q_s = 3Q_s - 5

Add 2Q_s to both sides:

-2Q = 5Q_s - 5

Add 2Q to both sides:

5Q_s - 2Q = 5

Factor out Q_s:

Q_s(5 - 2) = 5

Q_s(3) = 5

Q_s = 5/3

Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:

P = -5 + 3Q_s

P = -5 + 3(5/3)

P = -5 + 5

P = 0

Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.

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Work Shown:

15 green out of 60 total

15/60 = 1/4 = 0.25 = 25%

C(x) is decreasing on the open intervals (-∞, -1) and (7/3, ∞), and it is increasing on the open interval (-1, 7/3).

A function in mathematics is a relationship between two sets of numbers, the domain and the range, that allots a particular element from the range to each element in the domain.

Given function is C(x) = x³ - 2x² + 7x + 40

As previously calculated, the derivative of the function C(x) is given by:

C'(x) = 3x² - 4x + 7

To find where C(x) is decreasing and increasing, we need to analyze the sign of its derivative. C'(x) is a quadratic polynomial and can be factored as follows:

C'(x) = 3x² - 4x + 7 = (3x - 7)(x + 1)

The roots of this quadratic equation are x = 7/3 and x = -1. Therefore, C'(x) changes sign at x = 7/3 and x = -1, and we can use this information to determine where C(x) is increasing and decreasing:

C'(x) < 0 on the interval (-∞, -1)

C'(x) > 0 on the interval (-1, 7/3)

C'(x) < 0 on the interval (7/3, ∞)

Therefore, C(x) is decreasing on the open intervals (-∞, -1) and (7/3, ∞), and it is increasing on the open interval (-1, 7/3).

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Answer:

A. {y = 3x + 1 y =− 3x + 7

B. {y = 3x + 1 y = x + 1

Step-by-step explanation:

The required options are

A. {y = 3x + 1 y =− 3x + 7

B. {y = 3x + 1 y = x + 1

C. {y = 3x + 1 y = 3x + 7

D. {x + y = 10 x + y = 12

For option A

y = 3x + 1 and y =− 3x + 7

Equating both expression

3x+1 = -3x+7

3x+3x = 7-1

6x = 6

x = 6/6

x = 1

Since y = 3x+1

y = 3(1)+1

y = 4

For y = 3x + 1 and y = x + 1

Equate both expression

3x+1 = x+1

3x-x = 1-1

2x = 0

x = 0

Substitute x = 0 into y= x+1

y = 0+1

y = 1

c) {y = 3x + 1 and y = 3x + 7

Equate both expression

3x+1 = 3x+7

3x - 3x = 7-1

0x = 6

x = 6/0

X = infinity

the roots have infinite number of solutions

d) x + y = 10.... 1

x + y = 12 .... 2

Add both equations

2x+2y = 22

x+y = 11

Since we have one equation with tei unknown hence the equation has infinite number of solutions

The correct answers are A and B

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer: B

Step-by-step explanation: TRUST

The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).

To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).

Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:

Horizontal component (F_horizontal) = Force * cos(angle)

Vertical component (F_vertical) = Force * sin(angle)

Inserting in the values:

Horizontal component (F_horizontal) = 300 pounds * cos(30°)

Vertical component (F_vertical) = 300 pounds * sin(30°)

Now, let's calculate:

Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)

F_horizontal ≈ 259.8 pounds

Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)

F_vertical ≈ 150 pounds

Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.

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1 3/4 = 7/4 or 1.75

2 1/3= 7/3 or 2.33333333

Answer:

52

Step-by-step explanation:

If ABCD ~ EFGH

AND AB = 15 and EF = 18 and ABCD = 40

then

each side of ABCD should be 3cm less then side of EFGH

AB + BC + CD + DA = 40

AB + 3 + BC + 3 + CD +3 + DA + 3= P(EFGH)

40+12 = 52 = P(EFGH)

Answer:

35 degrees.

Step-by-step explanation:

m < TSK = 180 - 22 - 123

= 180 - 145

= 35.

To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.

In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.

In the case of triangles two factors should be considered:

This means that to determine if the triangles are congruent, you must measure each side and angle and make sure these are the same in each triangle.

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Her total commission was $560.

As 10% of the first $1,000, 15% of the next $2,000, and 20% of sales beyond $3,000 are commissions that she receives. She sold $3,400 worth of tires last week.

What does "total commission" mean?

The commission serves as a benefit or an inducement for the worker to close agreements so that the business can increase revenue and profits. The total commission is calculated by multiplying the total sales by the commission percentage.

After dividing the outcome by 100, multiply the sale price by the commission percentage. Perform the subsequent calculation: Each blue gadget costs $70. The salesman receives a 14% commission on each sale, or $9.80.

The percentage or fixed payment connected to a specific number of sales is referred to as a "commission rate." A commission, for instance, can be $30 or 6% of sales.

It is therefore $560.

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Answer:

151.2

Step-by-step explanation:

The ratio between the distance is 432:240, or 27:15
Using direct proportion, the bus fare also has to go up by 27/15

=> 84 x 27/15 = 151.2

Answer:

960 in.

Step-by-step explanation:

Don't know if it's right.

Answer:

3 looks right but I am not so sure

Step-by-step explanation:

sorry if i am wring

If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

If A and B are mutually exclusive events, it means that they cannot occur at the same time. Therefore, P(A and B) is equal to zero, because the intersection of the events is empty. So, if A and B are mutually exclusive:

P(A ∩ B) = 0

If A and B are independent events, it means that the occurrence of one event does not affect the probability of the other event occurring. In this case, the probability of both events occurring can be calculated as:

P(A ∩ B) = P(A) * P(B)

However, since A and B are mutually exclusive, they cannot be independent. If two events are mutually exclusive, the occurrence of one event implies that the other event cannot occur. Therefore, if A and B are mutually exclusive, they cannot be independent.

So,

If A and B are mutually exclusive, P(A ∩ B) = 0 and it does not make sense to talk about the probability of both events occurring together.

If A and B are independent, they cannot be mutually exclusive. In this case, P(A ∩ B) = P(A) * P(B), but since A and B cannot be mutually exclusive, this situation is not applicable.

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Answer:

could you give a little more deatail ?

Step-by-step explanation:

Answer:

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8

Answer: 20 weeks in 1 week

in 2 weeks 40

Step-by-step explanation:

This proves that the equation is true

Answer:

Press down the brake firmly and smoothly. ...

Don't brake and swerve the car at the same time. ...

Avoid using your transmission for quick stops. ...

Focus on where you want to go, not what you want to avoid.

Answer:

x < -12

Step-by-step explanation:

\(-\frac{1}{2} x + 3 > 9\)

subtract 3 from both sides

\(-\frac{1}{2}x > 6\)

divide both sides by -1/2 and turn the inequality sign around

\(x < 6 (\frac{-2}{1})\)

simplify to find x

x < -12

There is your answer! I hope I helped you :)

Answer:

happy to explain

Step-by-step explanation:

Algebra is an area in mathematics that uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas. Geometry is an area in mathematics that studies points, lines, varied-dimensional objects and shapes, surfaces, and solids

Answer:

 B C D

Step-by-step explanation:

Answer:

It's D. (1,-2)

Step-by-step explanation:

Answer:

The answer is B: (-1, 2)

Step-by-step explanation:

Imagine a mirror is placed along the y-axis.

Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.

Original coordinates: (1, 2)

Mirror coordinates: (-1, 2)

If the first term is 8  and the common ratio = 2 then, The next term in the geometric sequence is 16.

Geometric sequence -

When one term is varied by another by a common ratio, the series is referred to as a geometric progression or sequence.

a = 8

r = 2

G.P (for 2nd term) = ar = 8 x 2 = 16.

The next term is = 16.

If the first term is 8  and the common ratio = 2 then, The next term in the geometric sequence is 16.

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