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Ad libitum [116K]
3 years ago
11

Which of the following correctly completes the square for the equation

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

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Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

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vertex: (h, k) which means

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Your point is (1, -9) which is (x, y).

This means

x = 1

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Now, plug everything into your Vertex Form Equation:

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DiKsa [7]
C, because 7 divided, or over nine, is 7/9
Hope this helps!
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