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1 year ago

What is the slope of the line that contains the points (2, -7) and (-1, 5)?

1 answer:

6 0

Hello there! Given the coordinates, we can solve for the slope through the formula:

slope = y2 - y1 over x2 - x1

5 - (-7) = 12

(-1) - 2 = -3

The slope of our line is -12/3. When converting, this gives us -4. Hope this helps!

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Which statement about a dilation with a scale factor of 3 is true?

Valentin [98]

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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6 0

1 year ago

What the equivalent expression. 5 (3m +2p) - 4m

Ad libitum [116K]

Hi the answer is 11m+10p

6 0

2 years ago

Consider this right triangle. 21 29 20 Enter the ratio equivalent to s

AleksAgata [21]

Answer:

Part 1) $sin(B)=\frac{21}{29}$

Part 2) $csc(A)=\frac{29}{20}$

Part 3) $cot(A)=\frac{21}{20}$

Step-by-step explanation:

The complete question is

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(B)=\frac{21}{29}$

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

$csc(A)=\frac{1}{sin(A)}$

$sin(A)=\frac{BC}{AB}$ -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(A)=\frac{20}{29}$

therefore

$csc(A)=\frac{29}{20}$

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

$cot(A)=\frac{1}{tan(A)}$

$tan(A)=\frac{BC}{AC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{20}{21}$

therefore

$cot(A)=\frac{21}{20}$

4 0

2 years ago

What’s the answer to this?

Rus_ich [418]

Answer:

y = -1/2x + 1

Step-by-step explanation:

Using the slope formula: y = (y2 - y1)/(x2 - x1), we can determine that the slope is -1/2. There is only one answer with the slope of -1/2, but to check that it's right, we can plug in one of the points to see that y = -1/2x + 1 works.

5 0

2 years ago

Which is the equation of the horizontal line passing through the point (10,14)

masha68 [24]

the horizontal line must have the same y coordinate so y=14

3 0

2 years ago