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3 years ago

What is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)

Mathematics

1 answer:

Trava [24]3 years ago

3 0

Answer:

Step-by-step explanation:

I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.

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Please help me with this question! And please provide answer in inequalities form! Thanks so much!

Fiesta28 [93]

Answer:

Step-by-step explanation:

For this, we kind of have to test points to solve it. First, we can test theh interval x<= -2. Plug in -2 and we get a negative value which works. Next, let's try -2<x<0. Plug in -1 and get a positive value which doesn't work.

Next try 0<=x<=7. Plug in any number like 4 and get a negative value which works.

Finally, try x>7. Plug in 8 for example and you would get a positive value. So the solution is

x <= -2 OR 0 <= x <= 7

6 0

3 years ago

Derrick has 2 1/2 cups of sugar. He needs 1/8 of a cup of sugar for each recipe. How many recipes can be make

Damm [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

A) What is the equation of the line that passes through the given pair points in slope-intercept form?

lesya [120]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (2, 5.1) and (-1, -0.5). Substitute:

$m=\dfrac{-0.5-5.1}{-1-2}=\dfrac{-5.6}{-3}=\dfrac{5.6}{3}=\dfrac{56}{30}=\dfrac{28}{15}$

Therefore we have:

$y=\dfrac{28}{15}x+b$

Put the coordinates of the point (-1, -0.5) ot the equation:

$-0.5=\dfrac{28}{15}(-1)+b$

$-0.5=-\dfrac{28}{15}+b$ multiply both sides by 2

$-1=-\dfrac{56}{15}+2b$ add $\dfrac{56}{15}$ to both sides

$\dfrac{41}{15}=2b$ divide both sides by 2

$b=\dfrac{41}{30}$

Answer: $\boxed{y=\dfrac{28}{15}x+\dfrac{41}{30}}$

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We have the points (-2, 3) and (3, -4).

Calculate the slope:

$m=\dfrac{-4-3}{3-(-2)}=\dfrac{-7}{5}=-\dfrac{7}{5}$

Therefore we have:

$y=-\dfrac{7}{5}x+b$

Put the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{7}{5}(-2)+b$

$\dfrac{15}{5}=\dfrac{14}{5}+b$ subtract $\dfrac{14}{5}$ from both sides

$\dfrac{1}{5}=b\to b=\dfrac{1}{5}$

Answer: $\boxed{y=-\dfrac{7}{5}x+\dfrac{1}{5}}$

7 0

4 years ago

Which of the following statements is true of -4 and 4?

Xelga [282]

Answer:

to my opinion it should be

They are a zero pair

They are opposites

They are the same distance from zero

They are equivalent

hope i helped

4 0

3 years ago

When planning road development, the road commission estimates the future population using the function represented in the table,

telo118 [61]

Answer:C

Step-by-step explanation:

8 0

3 years ago

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