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3 years ago

Find a function whose graph is a parabola with vertex (7, 8) and that passes through the point. (6, −9).

1 answer:

7 0

Work backwards from vertex form. Vertex form of a quadratic equation/parabola is the following:

f(x) = a(x - h)² + k, where (h, k) is the vertex.

f(x) = a(x - 6)² - 9

Now, plug in the point that you're given to SOLVE FOR A. Remember that f(x) is just another way of writing y.

8 = a(1)² - 9
8 = a - 9
a = 17

So, plug in a = 17 into the equation.

<span>f(x) = 17(x - 6)² - 9 ←← your answer.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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Find the measure of angle n

qwelly [4]

Answer:

m angle N = 160 degree

Step-by-step explanation:

THANKS FOR SHARING YOUR QUESTION

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3 years ago

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Find the slope of the line.

pickupchik [31]

There are several ways to do this.
I'll show you two methods.

1) Pick two points on the line and use the slope formula.
Look for two points that are easy to read. It is best if the points are on grid line intersections. For example, you can see points (-4, -1) and (0, -2) are easy to read.
Now we use the slope formula.

slope = m = (y2 - y1)/(x2 - x1)

Call one point (x1, y1), and call the other point (x2, y2).
Plug in the x1, x2, y1, y2 values in the formula and simplify the fraction.

Let's call point (-4, -1) point (x1, y1).
Then x1 = -4, and y1 = -1.
Let's call point (0, -2) point (x2, y2).
Then x2 = 0, and y2 = -2.

Plug in values into the formula:

m = (y2 - y1)/(x2 - x1) = (-2 - (-1))/(0 - (-4)) = (-2 + 1)/(0 + 4) = -1/4

The slope is -1/4

2) Pick two points on the graph and use rise over run.
The slope is equal to the rise divided by the run.
Run is how much you go up or down.
Rise is how much you go right or left.

Pick two easy to read points.
We can use the same points we used above, (-4, -1) and (-0, -2).
Start at point (0, -2).
How far up or down do you need to go to get to point (-4, -1)?
Answer: 1 unit up, or +1.
The rise is +1.
Now that we went up 1, how far do you go left or right top go to point (-4, -1)?
Answer: 4 units to the left. Going left is negative, so the run is -4.
Slope = rise/run = +1/-4 = -1/4

As you can see we got the same slope using both methods.

6 0

3 years ago

Find the number by which 4732 should be divided to get perfect square.

ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0

3 years ago

You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your

gtnhenbr [62]

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission. That's found by multiplying the selling price ($155,000) by 0.065. The result: The total commission is $10,075.

Your company receives 60% of that. So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

4 0

3 years ago

8(1/2n+3/4)=70 solve for n

nasty-shy [4]

Answer:

n = 16

Step-by-step explanation:

8 0

3 years ago

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