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Firdavs [7]
3 years ago
10

Y-3=x x^2-6x+13=y A.(–5, 2) B. (–2, 1) C. (2, 5) D. (8, 5)

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

y - 3 = x

x^2 - 6x + 13 = y

--

y = x + 3

x^2 - 6x + 13 = x + 3

x^2 - 7x + 10 = 0

x^2 - 5x - 2x + 10 = 0

x (x - 5) - 2 (x - 5) = 0

(x - 2) (x - 5) = 0

x = 2, or x = 5

The answers choices only have one solution where x = 2 or x = 5, so the answer is (2, 5).

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Step-by-step explanation:

We assume you want to simplify this.

Use the distributive property to eliminate the parentheses. That property tells you that the factor outside parentheses (2) will multiply both of the terms inside parentheses. It's as though you had a bag (parentheses) with two objects inside. Two such bags will have two of each of those objects.

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  = 2(-x) +2(3) +x

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3 years ago
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