Answer:
For solving x x= -24+y/4 For solving Y y=−24−4x
Step-by-step explanation:
This is solving for x
Add y to both sides.
−4x=24+y
Divide both sides by -4
and the answer is
x= -24+y/4
THis is solving Y
Add 4x to both sides
−y=24+4x
Multiply both sides by -1
and the answer is
y=−24−4x
Wrapping paper design with the elements numbered bisected angle
I can’t help if there isn’t a picture
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.
