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VARVARA [1.3K]
2 years ago
10

Rewrite the equation by completing the square. f (x) = x^2 + 20x - 86

Mathematics
1 answer:
9966 [12]2 years ago
7 0

Answer:

f(x) = (x+10)^2 - 86

Step-by-step explanation:

  1. f(x) = x^2 + 20x - 86
  2. f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
  3. f(x) = (x+10)^2 - 86

Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.

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PLEASE HELP 3. what is the source of the line that contains the coordinate points (8, -3) and (-2, 7)
Darina [25.2K]

9514 1404 393

Answer:

  -1

Step-by-step explanation:

The slope of a line between two points is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -(-3))/(-2 -8) = 10/-10

  m = -1

The slope of the line is -1.

3 0
2 years ago
A model car uses the scale 1:43. The actual length of a car is 17.2 feet. What is the length of the model car?
faust18 [17]
17.2/43= 0.4

Since the scale is 1:43, you would just divide the actual length by 43.

0.4:17.2 is congruent to 1:43.

43/17.2= 2.5

1/.04= 2.5

I hope this helps!
~kaikers
7 0
3 years ago
1.06(12.95+x)=31.27 solve for x
OverLord2011 [107]

Answer:

<h2>x = 16.55</h2>

Step-by-step explanation:

1.06(12.95 + x) = 31.27

<u>Multiply the terms in the bracket</u>

That's

13.727 + 1.06x = 31.27

<u>Subtract 13.727 from both sides</u>

That's

13.727 - 13.727 + 1.06x = 31.27 - 13.727

1.06x = 17.543

<u>Divide both sides by 1.06</u>

That's

\frac{1.06x}{1.06}  =  \frac{17.543}{1.06}  \\ x =  \frac{17.543}{1.06}

We have the final answer as

<h3>x = 16.55</h3>

Hope this helps you

6 0
3 years ago
Read 2 more answers
The angles of a triangle are in the ratio of 2 : 12 : 16. The sum of all the angles in a triangle must equal 180 degrees. What i
UkoKoshka [18]

If the ratios are 2:12:16 the equation that should be used is 2x + 12x + 16x = 180.

First solve for x:

2x + 12x + 16x = 180

30x = 180

x = 6

Then plug x back in to find the degrees for each angle:

2x = 2(6) = 12

12x = 12(6) = 72

16x = 16(6) = 96

These are the degrees for each triangle: 12 degrees, 72 degrees, and 96 degrees which adds up to 180 degrees in total.

The equation, also at the top, is 2x + 12x + 16x = 180.


3 0
2 years ago
When a bush was first planted in a garden it was 12 inches tall after two weeks it was 120% as tall when it was first planted ho
Juliette [100K]
14.4, 120% of 12 is 100+20, 12+2.4 is 14.4
4 0
2 years ago
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