Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and

Subtract the inner from the outer:

If you need your answer in decimal form, then the volume is
9189.16 cm³
solution is (x, y ) → (- 1, 4 )
y + 2x = 2 → (1)
y + 4x = 0 → (2)
subtract equation (1) from (2) to eliminate term in y
(y - y ) + (4x - 2x ) = (0 - 2 )
2x = - 2 ( divide both sides by 2 )
x = - 1
substitute x = - 1 in either (1) or (2) and solve for y
(1) → y - 2 = 2 ( add 2 to both sides )
y = 4
solution is (x, y ) → (- 1, 4 )
Answer:
2x+16
Step-by-step explanation:
16 is your b( so to speak) in this expression so ? +16 (since 16 is a positive you add it) then it says double a number X so 2 times x equals 2x 2x+16 is your expression
Remember that both the denominator and the square root function cannot have values less than 0. So to figure what values can go into each we need to do a little math. Set both the denominator and the under the radical equal to 0
x + 2 = 0 x - 3 = 0
x = -2 x = 3
Since they must be those numbers or bigger 3 is the larger of the 2 the final answer is
x >= 3 Type in greater than into the box
Just use the formula:

Then, plug in numbers:

And that would be your answer: 3/5 is the slope.