What is the point slope formula for Y y1 MX x1?.

Graph the line using the slope and y-intercept, or two points.

Slope: 4

y-intercept: (0,8)

x    |    y

-2       0

0         8

-------------

Answer:

slope 4 y intercept (0,8)

Step-by-step explanation:

-12x+3y=24

-12x+-3y=24-3y

-12x=24-3y

-12x-24=3y

divide 3 to all

-4x-8=y

or -8-4x=y

Answer:

D.  5 weeks

Step-by-step explanation:

A population of pea aphids double every week beginning with 300 aphids.

Week 1:   300 × 2 = 600

Week 2:  600 × 2 = 1200

Week 3:  1200 × 2 = 2400

Week 4:  2400 × 2 = 4800

Week 5:  4800 × 2 = 9600

It will take 5 weeks

The area of the shaded region is 160 in². Option B

To find the area of the shaded region, we need to subtract the area of the regular pentagon from the area of the square.

First, let's calculate the area of the regular pentagon. We know that the area of a regular pentagon can be calculated using the formula:

\(Area = (5/4) \times s^2 \times cot(\pi /5)\)

Where s is the side length of the pentagon.

Given that the area of the pentagon is 240 in², we can rearrange the formula to solve for s:

\(240 = (5/4) \times s^2 \times cot(\pi /5)\)

Dividing both sides by (5/4) and cot(π/5):

\(s^2 = 240 / [(5/4) \times cot(\pi /5)]\\s^2 = 240 \times (4/5) \times tan(\pi /5)\)

Now we can substitute the values and calculate s:

\(s^2 = 192 \times tan(\pi /5)\\s = \sqrt{(192 \times tan(\pi /5))}\)

Using a calculator, we find that s ≈ 11.78 inches.

Now, let's calculate the area of the square:

Area of the square = \(side length^2 = 20^2 = 400 in^2\)

Finally, we can calculate the area of the shaded region by subtracting the area of the pentagon from the area of the square:

Area of shaded region = Area of square - Area of pentagon

= 400 in² - 240 in²

= 160 in²

Therefore, the area of the shaded region is 160 in².So, the correct answer is option b) 160 in².

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On any triangle, the sum of the measures of the internal angles is 180°. Then:

Substitute the expressions for each angle, solve for x and find the measure of each angle:

To find the measure of each angle, substitute x=24 into the expressions:

Therefore, the measures of the three angles are:

To find the equation for line m, that is perpendicular to line k, we will take the steps below:

First, find the slope of line k from the graph given

To find the slope, locate the coordinates of any given 2 points from the line.

we have;

(4, 0) and (0, 3)

From the points above:

x₁= 4 y₁=0 x₂=0 y₂=3

slope = y₂-y₁ /x₂- x₁

substitute the values of the coordinate into the formula above

slope = 3 - 0 / 0 -4

= 3/ -4

= - 3/4

slopes of perpendicula equations are given by;

m₁m₂= -1

let m₁ be slope of k and m₂ be slope of m

(-3/4)m₂ = -1

multiply both-side of the equation by -4/3

m₂ = 4/3

The above is the slope of line M

Next, is to find the intercept of line M

y=mx + b

Answer:

c (just took the test)

Step-by-step explanation:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.

As per the given information, in which the time, speed, and velocity of five runners, the statement that gives the best description about the runners is: “Garreth and Elisa ran ………..  in the opposite direction.” Hence, Option C is correct.

From a cardiovascular aspect, runners are highly fit athletes, but they frequently struggle with their balance, upper body strength, and glute power. Sports that use different muscles and gaits are recommended for runners.

While sprinters are taller and significantly more muscular, long-distance runners often have a shorter, lighter build. The types of workload each runner endures are a direct result of the differences between these two body types.

Logan and Jasmine moved in the opposite direction at the same speed as Jasmine, while Garreth and Elisa ran side by side. Luigi and Jasmine also covered the same distance.

Therefore, Option C is correct.

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The equation of the ellipse in standard form, centered at the origin, with vertices (±13,0) and foci (±12,0), is: x^2/169 + y^2/25 = 1

To find the equation of an ellipse in standard form centered at the origin, we can use the following equation:

x^2/a^2 + y^2/b^2 = 1

where (a,0) are the coordinates of the vertices and (c,0) are the coordinates of the foci.

Given that the vertices are (±13, 0) and the foci are (±12, 0), we can determine the values of a and c as follows:

The distance between the origin and the vertices is equal to the value of 'a', so a = 13.

The distance between the origin and the foci is equal to the value of 'c', so c = 12.

Now we can substitute these values into the equation to obtain the final equation:

x^2/13^2 + y^2/b^2 = 1

Since the ellipse is centered at the origin, the value of 'b' would be equal to the square root of (a^2 - c^2):

b = √(13^2 - 12^2) = √(169 - 144) = √25 = 5

Therefore, the equation of the ellipse in standard form, centered at the origin, with vertices (±13,0) and foci (±12,0), is:

x^2/169 + y^2/25 = 1

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Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.

In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.

The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.

This constant rate of change indicates that the relationship between x and y is linear.

In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.

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Answer:

yes

Step-by-step explanation:

Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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Answer:

b i think?

Step-by-step explanation:

Answer:

Edge 2021

Step-by-step explanation:

2nd one is C, 3x^4

Answer: 32

Step-by-step explanation:

Answer:

32 square inches

Step-by-step explanation:

Base = 8

Height = Half of 8 = 4

Area = base x height = 8 x 4

8 x 4 = 32 square inches

The combination of statements used to find m∠8 is m∠2≅m∠6 and m∠6≅m∠8. Therefore, option A is the correct answer.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, m∥l and m∠2=125°.

From the given figure, m∠2≅m∠6=125° (Corresponding angles are congruent)

Here, m∠6≅m∠8=125° (Vertically opposite angles are congruent)

Therefore, option A is the correct answer.

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Answer:

$22.50

Step-by-step explanation:

Kayla's base pay rate is $15.00 per hour. To calculate her overtime pay rate, we need to determine her time and a half rate for any hours worked over 40.

Time and a half means that she is paid 1.5 times her regular hourly rate for each overtime hour.

First, we need to determine how much Kayla is paid for one hour of overtime:

Time and a half rate = $15.00 x 1.5 = $22.50 per hour

Now we know that Kayla is paid $22.50 per hour for each overtime hour worked.

The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:

The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.

The parameters for this problem are given as follows:

Hence the correct statements are given as follows:

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Answer:

hey there!!!

Step-by-step explanation:

i think the best option is acute and isosceles from my view

hope it helps you...

Answer: 3.125

Step-by-step explanation:

Given

Triangle is dilated by a factor of \(\frac{1}{4}\) i.e. each side multiplies to 0.25.

Side E'F' becomes 0.25 times the original length

\(\Rightarrow E'F'=\dfrac{1}{4}\times 12.5=3.125\)

60  different words can be formed from the letters in the word BANANA.

Number of letters in BANANA= 6

where, A is repeated 3 times and N is repeated 2 times.

The formula for repeating letters is;

Factorial of total number of letters / Factorial of number of letters repeated.

Thus total permutations = 6! / (2!*3!)

                                         = 60

Therefore, 60 words can will be formed using the letters of BANANA.

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a.Stored attribute b.Minimum cardinality c. entity type- relationship type d. strong entity type weak entity type e. degree cardinality f. required attribute optional attribute g. composite attribute multivalued attribute h. ternary relationship has a strict contrast .

a. Stored attribute represents a characteristic or property of an entity that is directly stored in a database. It can be easily accessed and retrieved. On the other hand, a derived attribute is not directly stored but is calculated or derived from other attributes. It is derived using formulas, calculations, or rules based on the stored attributes.

b. Minimum cardinality specifies the minimum number of occurrences an entity can have in a relationship. For example, a minimum cardinality of 1 means that an entity must have at least one occurrence in the relationship. Maximum cardinality, on the other hand, defines the maximum number of occurrences an entity can have in a relationship. It sets an upper limit on the number of associations an entity can have.

c. An entity type represents a distinct object in the real world, such as a customer, employee, or product. It has its own attributes and may participate in relationships with other entity types. On the other hand, a relationship type represents an association or connection between two or more entity types. It describes how entities are related or connected to each other.

d. A strong entity type exists independently and has its own primary key. It can be uniquely identified on its own without depending on any other entity types. A weak entity type, however, depends on a strong entity type for its existence. It does not have its own primary key and relies on a foreign key relationship with a strong entity type.

e. Degree refers to the number of entity types participating in a relationship. It represents the number of entity types connected by the relationship. Cardinality, on the other hand, describes the number of occurrences or instances of one entity type that can be associated with another entity type in a relationship. It specifies how many entities can participate in the relationship.

f. Required attributes are attributes that must have a value and cannot be left empty or null. They are necessary for the completeness and integrity of the data. Optional attributes, on the other hand, are attributes that may or may not have a value. They are not mandatory and can be left empty.

g. A composite attribute is an attribute that can be further divided into sub-attributes. It is composed of multiple components or parts, representing a hierarchical structure. On the other hand, a multivalued attribute can have multiple values for a single occurrence of an entity. It allows an entity to have multiple instances or occurrences of the attribute.

h. A ternary relationship involves three

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Answer:

B

Step-by-step explanation:

Answer:

B) There were N people on the beach at 10:00a.m.

Step-by-step explanation:

As stated, "t" represents the hours past midnight. So the first part states that it is 10 hours after midnight. Since we know its ten hours after midnight, aka 10am, what we don't know is how many people are on the beach. therefore we know the answer is B.

a) The coordinates of point A are given as follows: (-4,1).

b) The point B is plotted in red on the image given for this problem.

c) The coordinates of point C are given as follows: (-4,-2).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

Then the coordinates of point C are given as follows:

Hence the ordered pair is given as follows:

(-4, -2).

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Answer:

1,200 > 1,100

Step-by-step explanation:

This is because 1,183 is rounded up to the nearest hundred which is 1200 (since 8 which is the tens digit is greater than 5) and 1,145 is rounded down to the nearest hundred which is 1,100 (since 4 which is the tens digit is less than 5).

So, 1,200 > 1,100

C x -300 is the expression that represents the price of the television set after the instant rebate is applied and before the tax is applied

We are given that an expression  models the final price of television set with an instant rebate in a state that charges a sales tax.

0.07x+(x-300)

The sale tax in on the original price .

We have to find an expression that represents the price of the television set after the instant rebate is applied but before the tax is applied.

Let x be the original price of television.

Instant rebate is subtracted from original price x.

Then , the cost of the television set=x-300

In the given expression 0.07 x is sales tax. where  tax is 7 %  on the original price x.

Sales  tax is  added to the  price of television set.

Hence, option C is true and answer is C x -300

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Answer:

y = - \(\frac{1}{5}\) x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 2 ← is in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of the line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{5}\)

The line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = - \(\frac{1}{5}\) x + 5 ← equation of perpendicular line

Answer:

y = -x/5 + 5

Step-by-step explanation:

Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)

Given :

L1 : y = 5x+2

P : P(p,q) = P(0,5)

Solution :

Slope of L1 = 5.  For L to be perpendicular, product of slopes = -1 =>

m*5=-1, or m = -1/5

Since L passes through P(0,5), using the point slope form of the line L :

L : (y-5) = -(x – 0) / 5

L : y = -x/5 + 5

Answer:

n = -20

Step-by-step explanation:

-7 + \(\frac{n}{5}\) = -11

*multiply both sides by 5*

-35 + n = -55

*add 35 to each side*

n = -55 + 35

*calculate the sum*

n = -20

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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Answer:

10 1/2 servings

Step-by-step explanation:

Hugh made a recipe that yields 5 and 1 over 4 cups.

Recipe = 5 1/4 cups = 21/4 cups

1 serving = 1/2 cup

The number of serving that Hugh's recipe would generate =

1/2 cup =>1 serving

21/4 cups => x

Cross Multiply

x = 21/4 / 1/2

= 21/4 ÷ 1/2

= 21/4 × 2/1

= 21/2

= 10 1/2 servings

The number of servings his recipe will yield is 10 1/2 servings

Answer:

My son is taking quiz. and he says its 8 and 1 over 2 times 1 over 4

Step-by-step explanation:

Plz mark brainliest