82+2x=180
2x=98
x=49
answer is x=49
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
She will now save $56 every month. Please Mark Brainliest!!!
The answer for #8 is C.
7.1 x 7.1 = 50.41
For 10 I can't help you with because there are no answer choices shown on the photo. I would wait for another to help.
A) 15 + 0 = 0 False 15
b) 15 - 0 = 0 False 15
c) 0 : 15 = 0 True 0
d) 15 : 0 = 0 False 15
