Answer:
f(x) = (x + 6)² - 29
Step-by-step explanation:
Given
f(x) = x² + 12x + 7
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 12x
x² + 2(6)x + 36 - 36 + 7
= (x + 6)² - 29, thus
f(x) = (x + 6)² - 29
Answer:
3.2
Step-by-step explanation:
For this we need to get the entire volume of the mixture. We get it by summing each quantities:
Vol = 10.6 + 0.6 + 8 = 19.2 L
So, we have 19.2 L for 6 bowls.
For getting the punch of each bowl we just need to divide this volume between the 6 bowls:
19.2 / 6 = 3.2 L
So, each bowl has 3.2 L
Paralalell means that is has the same slope
y=mx+b
m=slope
y=-1x-2
slope=-1
the equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1)
given
(2,-2) and slope is -1
y-(-2)=-1(x-2)
y+2=-x+2
minus 2
y=-x
answer is y=-x
Answer:
<em>124.0 ft^2</em>
Step-by-step explanation:
let b = base of triangle = 7ft
h = height of triangle = 4ft
and
l = height of prism. = 8.5ft
We know,
volume of prism = area of triangular face of prizm × height of prizm
= 1/2 × b × h × l
= 1/2 × 7 × 4 × 8.5
= 7 × 2 × 8.5
= 14 × 8.5
<h2> = <u>124.0 ft^2</u></h2>
