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Likurg_2 [28]
3 years ago
12

The local monsters are currently throwing a bash

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer: 55 minutes

Step-by-step explanation:

First, you would have to subtract 5 from 225 because there are already 5 monsters there.

225-5= 220

Next, you would have to divide 220 by 4 to find the amount of minutes.

220/4= 55

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To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
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Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

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In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

And we are done!

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