Solve using completing the square x^2 – 8x + 16 = 25

1 answer:

5 0

First we need to factor the left side. Since it is a perfect square (as is the process with completing the square, we know we can take half of the middle number along with x to be in the two parenthesis.

(x - 4)(x - 4) = 25

Now we simplify to show it as a square.

(x - 4)^2 = 25

Next we take the square root of both sides

x - 4 = +/- 5

Note that we have plus or minus 5. This is because either square would give us positive 25. Now we add 4 to both sides

x = 4 +/- 5

4 + 5 = 9

4 - 5 = -1

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The measure of an angle is nine times the measure of its complement. find the measure of each angle.

andrew11 [14]

Two angles are complementary when they add up to 90 degrees

smaller angle = x
larger angle = 9x

x + 9x = 90
10x = 90
x = 90/10
x = 9° ← smaller angle

larger angle = 9x = 9 * 9 = 81°

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Igoryamba

Given your ordered pair you would assume a = 5, b = 2
Set up both equations
5 + 2 = 7
7 = 7 (the numbers are equal so this correct)
2(5) - 8 = 2
10 - 8 = 2
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Because both equations work with the ordered pair they are the solution of the given system.

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It means, for every in in the model, it is equivalent to 12 inches in the real.

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So, Dimensions of the model = 132/12 * 66/12 = 11 * 5.5

In short, Your Answer would be: 11 * 5.5 cm

Hope this helps!

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3 years ago