Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
11 for the first one and 12 for the second one
Answer:
width is 6 ft, length is 24 ft
Step-by-step explanation:
We can set up 2 equations to help us solve this.
Equation 1: "The area is 144 square feet" gives us
LW = 144 (area of a rectangle)
Equation 2: "the width is 1\4 of the length" give us
W = L/4
We can plug the second equation into the first equation...
Since W = L/4, we get
L(L/4) = 144 (W becomes L/4)
Now solve for L
L²/4 = 144
L² = 624 (multiply both sides by 4)
L = 24 ft (take the square root of each side)
Since L = 24, and W = L/4,
W = 24/6, so W = 6 ft
Answer:
y = 1
Step-by-step explanation:
The answer is 1110
step by step explanation:
