Answer:
20.943951023932 m^3
Step-by-step explanation:
v=1/3pi(r)^2h
v=1/3pi(2)^2(5)
v=20.943951023932 m^3
Given:
The equation of a line is:

A line passes through the point (-5,-3) and perpendicular to the given line.
To find:
The equation of the line.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get

We know that the product of slopes of two perpendicular lines is always -1.



Slope of the required line is
and it passes through the point (-5,-3). So, the equation of the line is:



Using distributive property, we get




Therefore, the equation of the line is
. Hence, option A is correct.
Answer:
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
Step-by-step explanation:
Let
x -----> number of pages that Polina read
y ----> number of pages that Marcus read
we know that
x+y=108 ----> equation A
x=5y -----> equation B
substitute equation B in equation A and solve for y

Find the value of x

therefore
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
Answer:
30
Step-by-step explanation:
let EFH = x
Let GFH = y
x + y = 90
x = 2y
Substitute: 2y + y = 90
3y = 90
y = 30
Answer:
4m(4m-3)
Step-by-step explanation:
16m^2 − 12m
16 m^2 = 2*2*2*2*m*m
12m = 2*2*3*m
The greatest factor for 16m^2 and 12m is 2*2*m or 4m
Factor out 4m
16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)
12m = 2*2*3*m = 4m(3)
Factoring out 4m
16m^2 − 12m
4m(4m-3)