22b^9 divided by -2b^5

Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8, –8).

zloy xaker [14]

Option B: $y=-\frac{1}{2} x-4$ is the equation of the line.

Explanation:

Given that the equation of the line is perpendicular to $y = 2x + 8$ and passes through the point $(8,-8)$

We need to determine the equation of the line.

The equation of the line can be determined using the formula,

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

First, we shall find the value of m.

From the equation $y = 2x + 8$ , the slope is 2.

Since, the lines are perpendicular, the slope is given by

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

Thus, the slope is $m=-\frac{1}{2}$

Substituting the slope $m=-\frac{1}{2}$ and the point $(8,-8)$ in the formula $y-y_1=m(x-x_1)$ , we get,

$y+8=-\frac{1}{2} (x-8)$

Simplifying, we get,

$y+8=-\frac{1}{2} x+4$

Subtracting both sides by 8, we get,

$y=-\frac{1}{2} x-4$

Thus, the equation of the line is $y=-\frac{1}{2} x-4$

Therefore, Option B is the correct answer.

7 0

3 years ago

Consider the equation 6x +7=3x � 5. Which of the following possible first steps would prevent having to deal with fractions when

11Alexandr11 [23.1K]

Answer:

D. I or II only

Step-by-step explanation:

By a small online search, I've found that the equation is:

6x + 7 = 3x - 5

And the options are:

I. Combining the 6x and 3x terms

II. Combining the 7 and 5

III. Dividing both sides of the equation by 6

A. I only

B. II only

C. III only

D. I or II only

E. I or II or III

So, let's solve the equation in such a way that we can prevent the use of fractions:

6x + 7 = 3x - 5

We can use I and II, combining one in each side, so we get (so we use I and II at the same time)

6x - 3x = -5 - 7

solving these, we get:

(6 - 3)*x = -12

3*x = -12

and -12 is divisible by 3, so if we divide in both sides by 3, we get:

x = -12/3 = -4

x = -4

So we avoided working with fractions, and we used I and II.

Then the first step could be either I or II (the order does not matter)

Then the correct option is:

D. I or II only

8 0

3 years ago

I need help with the steps for the triangular prism. thank you.

Helen [10]

Step-by-step explanation:

The formula of prism is area of right angled triangle × height

3 0

3 years ago

Read 2 more answers

I need help please and thank you

Sphinxa [80]

The answer to your problem is 66

6 0

4 years ago

Read 2 more answers

You need a 25% alcohol solution. On hand, you have a 225 mL of a 35% alcohol mixture. How much pure water will you need to add t

Radda [10]

You will need 252 mL of pure water to obtain 0.25 mL of the desired 25% solution.

If we add X amount of water to the solution, the total amount of solution is 375+X.

And that must be 25%.

<h3>What is the amount of solute in the current solution?</h3>

The amount of solute in the current amount of solution is

0.6(375)=225.

That amount won't change by adding water.

So we set up the equation so that the amount of solute divided by the new total amount of solution equals 25%.

225/(375+X)=0.25

cross multiply and solve

225/0.25=(375+X)

900-375=X

X=525

The pure water will you need to add to obtain the desired solution is 525.

Then we check 225/(375+525)=0.25.

To learn more about the mixture problem visit:

brainly.com/question/24647756

#SPJ1

7 0

2 years ago