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Zanzabum
2 years ago
15

3. Which side in ΔFED does AC in ΔABC correspond to?

Mathematics
1 answer:
Dahasolnce [82]2 years ago
8 0

Answer:

step by step below

Step-by-step explanation:

3. AB --> EF  (53°)

   BC --> DE  (37°)

   AC --> DF (90°)

4. EF/AB = 8/4 = 2 (scale factor)

5. DE = 2 x CB = 6

6. FD = √6²+8² = √100 = 10

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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
Elan Coil [88]

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:

(b/2)^2

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!

4 0
3 years ago
Read 2 more answers
Need help asap!!!!! thank you!!
NeX [460]

Answer:

1,2,20

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3 years ago
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Evaluate each expression please
Firlakuza [10]
13. Is 18 15. Is 86 17 is 5 19 is 15 21 is 24 23 is 29
5 0
3 years ago
-8x = -96 <br> (a)-14 <br> (b) -13<br> (c)-12<br> (D) 12
Leto [7]

Answer:

D) 12

Step-by-step explanation:

divide each term by -8 and simplify

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7 0
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If |x|=3, x can be either 3 or -3
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