( a^6 b^ -3) ^ (1/3)
split them apart
( a^6) ^ (1/3) (b^ -3) ^ (1/3)
power to a power is multiply
a^ (6*1/3) b^(-3*1/3)
a^2 b^-1
a^2/b
Choice D
Answer:
Step-by-step explanation:
Each of the triangles is similar, so we have ...
3/5 = (3+x)/20
x = 20(3/5) -3
x = 9
__
4/5 = (4+y)/20
y = 20(4/5) -4
y = 12
__
3/5 = (3 + x + u)/60
u = 60(3/5) -3 -9
u = 24
__
4/5 = (4 +y +v)/60
v = 60(4/5) -4 -12
v = 32
The required equation of the line is y = -1/2x
<h3>Equation of a line</h3>
The standard equation of a line is expressed as y = mx + b
- where:
- m is the slope
- b is the y intercept
Given the coordinate points (0,0) and (4, -2)
Slope = -2/4 = -1/2
The intercept is 0 since the line pass through the origin
Hence the required equation of the line is y = -1/2x
Learn more on equation of a line here: brainly.com/question/13763238
Answer: y=7
Step-by-step explanation:
Answer:
The area of cylinder 949.536 in²
Step-by-step explanation:
Points to remember
Curved surface area of cylinder = 2πrh
Where r - radius of cylinder
h - Height of cylinder
<u>To find the area of cylinder</u>
Here r = diameter/2 = 6.3/2 = 3.15 in
h = 48 in
Area = 2πrh
= 2 * 3.14 * 3.15 * 48
= 949.536 in²
Therefore area of cylinder 949.536 in²
