Answer:
y = -16
Step-by-step explanation:
f(x)=3/4x+12 (replace f(x) with y)
y =3/4x+12 (rearrange to express x in terms of y)
y - 12=3/4 x
3/4 x = y - 12
3x = 4(y - 12)
x = (4/3)(y - 12)
x = (4/3)y - (4/3)(12)
x = (4/3)y - 16
(y) = (4/3)y - 16
(x) = (4/3)x - 16
comparing to general form
y = mx + b where b is the y-intercept
b = -16
Hence the y-intercept is y = -16
1.
volume of cone=(1/3)hpir^2
h=6
r=9
v=(1/3)6pi9^2
v=2pi81
v=162pi
3.14=pi for problem
162 times 3.14=508.68
answer is D
2. 2=r, 24=h
v=(1/3)24pi2^2
v=8pi4
v=32pi
answer is D
3. 10=h
4=r
v=(1/3)10pi4^2
v=(1/3)10pi16
v=(1/3)160pi
v=(160/3)pi
answer is C
4. 9=h
3=r
v=(1/3)9pi3^3
v=3pi9
v=27pi
pi=3.14
v=84.78
84.8 is answer
5. d/2=r12/2=6=r
r=6
h=12
v=(1/3)12pi6^2
v=4pi26
v=144pi
pi=3.14
v=425.16
v=425.2
answer is 425.2
ANSWERS
1. D
2. D
3. C
4. 84.8
5. 425.6
We actually don't need to solve for x, just legnth
P=2(L+W)
40=P
L=x-3=L (since we are solving for Legnth not specifically x)
W=4
40=2(L+4)
divide both sides by 2
20=L+4
minus 4 both sides
16=L
legnth=16 cm (x=19 just fyi)
Answer:
Step-by-step explanation:
523,010.0
