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.
Answer:
infinite solutions 0=0
Step-by-step explanation:
solve for x. x=4-2y
input for x from 1st equation
y=-1/2(4-2y) +2
y= -2+y+2
y-y =-2+2
0=0
Answer:
Problem 1: n = 16
Problem 2: n = -1
Step-by-step explanation:
Problem 1:
-3n + 48 = 0
We solve the equation for n.
First, subtract 48 from both sides.
-3n = -48
Now divide both sides by -3. This cancels out the negative on both sides:
n = 16
-2n + 10 -5n = 17
First, combine the terms with n:
-7n + 10 = 17
Now, combine the numbers that don't have n (subtract 10 from both sides).
-7n = 7
n = -1
Answer:
ACUTE ANGLE IS YOUR ANSWER
Answer:
The answer is C
Step-by-step explanation:
