Answer:
K = -2
It is -2 because when you plug in the coordinate y/k = -2
Answer:
<h2>1. V = 100 in³</h2><h2>2. h = 10 in</h2>
Step-by-step explanation:
The formula of a volume of a cylinder:

<em>B</em><em> - base area</em>
<em>h</em><em> - height</em>
<em />
1. We have
<em>h = 5in, B = 20 in²</em>.
Substitute:

2. We have
<em>B = 20.7 in², V = 207 in³</em>.
Substitute:
<em>divide both sides by 20.7</em>

Answer:
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 + = –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction
-7/2 = -2(x - ½)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
7/2 = -2(x - ½)²
Answer: 5.3852
Step-by-step explanation: