All categories

2 years ago

A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?

Mathematics

1 answer:

kotykmax [81]2 years ago

4 0

Answer:

$\huge\boxed{y-4=8(x+6)}$

Step-by-step explanation:

The equation of a line in the point-slope form:

$y-y_1=m(x-x_1)$

$m-slope\\\\(x_1;\ y_1)-point$

We have:

$m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4$

Substitute:

$y-4=8(x-(-6))\\\\y-4=8(x+6)$

You might be interested in

Find the length of side x in simplest radical form with a rational denominator.

slega [8]

I just ask this question on the SnapCalc app the answer is in the image

4 0

3 years ago

Could you guys help me out with these problems

timurjin [86]

It's too blurry take another picture

5 0

3 years ago

Which ordered pair is the solution to the system?

Novosadov [1.4K]

Answer:

C. (4,-7)

Step-by-step explanation:

To answer this question, I just graphed the two equations. Then I found where they intersected.

6 0

3 years ago

Mr. Richards purchased 8 T-shirts for the volleyball team. The total cost of the T-shirts was $70.56. How much did each shirt co

bezimeni [28]

Answer:

$8.82

Step-by-step explanation:

$70.56÷8 =$8.82 total

7 0

3 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

3 years ago