A line passes through the point (10,-9) and has a slope of -5/2. Write an equation in slope-intercept form for this line.

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Step-by-step explanation:

Solution,

Given:-

To find:-

Now,

by the question and given conditions we have

Hence, the the value of 4bc is 48.

Answer: 4bc = 48

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

a = 5

b = 2

c = 6

Given expression

4bc

Substitute values into the expression

= 4 (2) (6)

Simplify by multiplication

= 8 (6)

= \(\boxed{48}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm

X=pi/2 only in the interval 0 to 4 . We have the maximum value of f(x) = sinx = 1

What is  function interval ?

If the value of the function f (x) grows with an increase in the value of x, the function interval is said to be positive.

                         The function interval, on the other hand, is said to be negative if the value of the function f (x) decreases as the value of x increases.

First of all to apply the extreme value theorem function must be countions at the interval 0 to 4.

F(x)=(x^2-16)/(x^2+x-20) is countinious int the given interval .

Now we find

F'(x)= d(F(x))/dx=1/(x+5)^2 so here we don't have in critical point therefore this choice is incorrect

Similarly if we take

F(x)= sinx

F'(x) = cosx

For critical point ,

Cosx =0

X=pi/2 only in the interval 0 to 4

And this point we have the maximum value of f(x) = sinx = 1

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Answer:

30, 60, 120, 180

Step-by-step explanation:

hope this helps

The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.

c²= a² + b² - 2ab cos(C)

In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:

15² = 6² + 15² - 2(6)(15)cos(x)

225 = 261 - 180cos(x)

180cos(x) = 36

cos(x) =\(\frac{36}{180}\)

cos(x) = 0.2

Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:

x = \(cos^{-1}\)(0.2)

x ≈ 78.46 degrees

An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.

Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.

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The expected count of women who ranked the dark-skinned model as the most beautiful is 100.

Since there are three models, we would expect 100/3 = 33.33% of the women to have ranked each model as the most beautiful if there were no relationship between skin color and beauty judgements. Thus, we can calculate the expected count of women who ranked the dark-skinned model as the most beautiful as follows:

Expected count = 300 * 33.33% = 100

Therefore, we can expect that 100 women out of the 300 sampled would have ranked the dark-skinned model as the most beautiful if there were no relationship between skin color and beauty judgements. The observed count of 55 women who ranked the dark-skinned model as the most beautiful is higher than the expected count, which suggests that there may be a relationship between skin color and beauty judgements. However, further statistical tests would be needed to confirm this.

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Answer:

120

Step-by-step explanation:

kate has 60 more and you know that 3 : 2

the 3 is kate and 2 is isaac so 60 x 3 = 180 then do 60x 2 = 120

You have your answer 120

Answer: I think that your answer would be C ; 40 sweets

Step-by-step explanation:

Can you please tell me if I am wrong-_-

Find total collected by multiplying the amount per person by number of people:

1000 x 0.12 = $120.00

Total collected = $120.00

Divide total collected by number of people:

120.00 / 109 = $1.20

Each person gets $1.20

Answer:

Both triangles have acute angles

Answer:

pro forma financial statements are financial reports based on hypothetical scenarios that utilize assumptions or financial projections.

Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

Triangle AFB: A=4 cm, B=5 cm, F=7 cm

Triangle DHG: D=2.8 cm, H=3.5 cm, G=4.9 cm

Scale factor = 7/4.9 = 1.43

Step by explanation

Step 1: Draw triangle AFB on a piece of paper.

Step 2: Measure the side lengths of triangle AFB and record them.

Step 3: Draw a second triangle, DHG, on the paper.

Step 4: Measure the side lengths of triangle DHG and record them.

Step 5: Divide the length of the longest side of triangle AFB by the longest side of triangle DHG to find the scale factor.

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The required number of cans would be 2 for painting a circular tabletop that has a radius of 3 feet.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

We have been given that beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet.

Firstly, we need to calculate the area of a given circular tabletop which is equal to the area of a circle with a radius of 3 feet.

area of the circular tabletop = the area of a circle

area of the circular tabletop = π r²

Here r = 3 feet

area of the circular tabletop = π (3)²

area of the circular tabletop = 9π

area of the circular tabletop = 28.27 square feet

Required number of cans = 28.27 / 15

Required number of cans = 1.88 ≈ 2

Therefore, the required number of cans would be 2.

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Answer:

32.9% i think

Step-by-step explanation:

sin ( x) = opposite side / hypotenuse

sin (x) = 30 / 50

x = sin^-1 (3/5)

x= 36. 87

________________

Answer

x= 37º

The positive value of x is 6

An index, or power, is the small floating number that appears after a number or letter.

For example, x⁵ is an exponent expression. 5 is the index or power and x is the base. There are some rules that guides Indices.

25^(2x) = 5^(x²-12)

= 5^(4x) = 5^(x²-12

4x = x²-12

x²-4x -12 = 0

x² -6x +2x -12 = 0

(x²-6x) (2x-12) = 0

x( x-6) 2( x-6) = 0

(x+2)(x-6) = 0

x+2 = 0 or x-6 = 0

x = -2 or +6

therefore the positive value of x is 6

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The value of the Population Variance is 100.

According to the statement

we have given that the A population of N = 10 scores has μ = 50 and σ = 5. And we have to find the population variance.

So, For this purpose,

we know that the population variance can be defined as the average of the distances from each data point in a particular population to the mean squared, and it indicates how data points are spread out in the population.

Population variance = mean /(standard deviation/number of samples)

Population variance = μ / (σ /N )

Substitute the values in it and then

Population variance = 50 / (5 /10 )

Population variance = 50 / (0.5 )

Population variance = 100.

So, The value of the Population Variance is 100.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

A population of N = 10 scores has μ = 50 and σ = 5. What is the population variance?

a. 10

b. the square root of 5

c. the square root of 50

d. 25

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Answer:

92 cups

Step-by-step explanation:

Total volume of lemonade:

Volume of a cup:

Cups needed:

The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.

In this case we any vertical line will only intersect one point then we conclude that:

The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.

Answer:

(0,1.5) (0,-3)

Step-by-step explanation:

Hope it helps :)

The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.

This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.

Therefore, (136 - 5 - 1) = 130 degrees of freedom.

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Given :   dilation with a scale factor of 3

To find :  Which statement is true

Solution:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Here is given that Scale factor of 3

=> image will be enlarged to 3 times the original image

Hence correct option is :

C)Each side in the pre-image is multiplied by three to find the corresponding side length in the image

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Answer:

Answer C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

DOG. THIS IS CAKE JUST TRUST ME DOG.

i need you to pull out your calculator man it can be one of those cheap dollar store ones, honestly it will work for this problem, thats just how EASY this is.

i need you to add up every single number you see in those boxes. add ALL OF THEM TOGETHER.

you get 148

now how many numbers are there? count up the boxes, there are 14 boxes.

so divide 148 by 14

you get 10.57

round it to 10.6

EPIC!!!!!!

Answer:

p= -1

Step-by-step explanation:

subtract 8 both sides,

divide both side by 2

The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.

To do this, we simply plot the points on a graph.

See attachment for the graph that represents the table.

From the attached graph, we can see that the points on the graph follows an approximately quadratic path

Hence, the visitor data is best modeled by a quadratic function

Also, the state park management should plan for more than 400 visitors next year.

This is so because the range of a quadratic function is the set of all real numbers.

This means that the table can accept a value of 400 (or greater) as one of its data points

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Answer:

34%

Step-by-step explanation:

LammettHash is right just take it as a whole number (for those of you using acellus)

Answer:

3r(1 + 2r)

Step-by-step explanation:

3r + 6r^2

take common

3r(1 + 2r)

Answer:

3r(1+2r2)

Step-by-step explanation:

Answer:

Segment AC is congruent to segment CD.

Step-by-step explanation:

The segment AD's midpoint is C. The midpoint of a line is halfway between both points.