Answer:
Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.
Step-by-step explanation:
f(g(x)) = f(
) = 
g(f(x)) = g 
Answer:
The perimeter is 127.1 cm
Step-by-step explanation:
30+25+25=80
(2)(3.14)(15)=94.2
94.2/2=47.1
Divide by two because of the semicircle
80+47.1=127.1
First you need to multiply by a factor that will givr you the same value in one of the x or y value.
(6x-12y=24)1
+(-x-6y=4)-2
6x-12y=24
=2x+12y=-8
8x=16÷8
x=2
now that you have x, substitute x by 2 in one of the eqauations
-2-6y=4
+2. +2
=-6y=6
÷-6. ÷-6
y=-1
Step-by-step explanation:
x² − 4x = 0
To complete the square, take half of the second coefficient, square it, then add the result to both sides.
(-4/2)² = 4
x² − 4x + 4 = 4
(x − 2)² = 4
x − 2 = ±2
x = 2 ± 2
x = 0 or 4
1. 198.56
Step-by-step explanation:
To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.
Area of the circle = π = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π
Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56 2. V
=
a
base
×
h
V
=
π
r
2
×
h
V
=
π
(
d
2
)
2
×
h
V
=
π
(
6.6
2
)
2
×
9.9
V
=
338.7
c
m
3
Hopefully this helps!
