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3 years ago

Determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

slope = - $\frac{3}{2}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m = $\frac{-2-1}{0+2}$ = $\frac{-3}{2}$ = - $\frac{3}{2}$

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A hockey puck has a diameter of 3 inches and rolls on its edge for 24 rotations. How far did it roll before falling flat?

scoundrel [369]

Find the circumference of the puck using circumference = pi x diameter

Circumference = 3.14 x 3 = 9.42 inches.

For every rotation the puck would travel 9.42 inches.

Now multiply y by 24 rotations:

9.42 x 24 = 226.08 inches.

Answer: 226.08 inches

4 0

3 years ago

Find an equation in slope-intercept form of the line that has slope -7 and passes through point A(-7, - 2).

aliya0001 [1]

Answer:

Step-by-step explanation:

y + 2 = -7(x + 7)

y + 2 = -7x - 49

y = -7x - 51

answer is b

3 0

3 years ago

Find the measure of an angle such that the difference between the measures of its supplement and four times its complement is 30

Katarina [22]

Answer:

70 degrees

Step-by-step explanation:

x = angle

180 - x = it's supplement

90 - x = it's compliment

(180 - x) - 4(90 - x) = 30

180 - x - 360 + 4x = 30

reducing

3x = 210

x = 70

7 0

3 years ago

Which function below is decaying the fastest?

a_sh-v [17]

Answer:

Function: y = 1/6^x

Step-by-step explanation:

The function y = 1/6^x would be decaying faster because the function y = 2/3^x equals 4/6^x and that is 4 times greater than 1/6. That means that more of the value will be retained in the function y = 2/3^x or y = 4/6^x.

7 0

4 years ago

A business is owned by 3 people. Mrs. Applegate owns

Bezzdna [24]

Given:

Mrs. Applegate owns $\dfrac{3}{19}$ of the business.

Mrs. Brown owns 3 times as much as Mrs. Charles.

To find:

The fractional part of the business that Mrs. Brown owns.

Solution:

Let Mrs. Charles owns x part of business.

Mrs. Brown owns 3 times as much as Mrs. Charles.

Mrs. Brown owns = 3x part of business.

Mrs. Applegate owns $=\dfrac{3}{19}$ of the business.

$x+3x+\dfrac{3}{19}=1$

$4x=1-\dfrac{3}{19}$

$4x=\dfrac{19-3}{19}$

$4x=\dfrac{16}{19}$

Divide both sides by 4.

$x=\dfrac{16}{4\times 19}$

$x=\dfrac{4}{19}$

Now,

Mrs. Brown owns $=3\times x$

$=3\times \dfrac{4}{19}$

$=\dfrac{12}{19}$

Therefore, Mrs. Brown owns $\dfrac{12}{19}$ of the business.

4 0

3 years ago