1. x/6 = 15 - 4
x = 11 × 6
x = 66
2. 2/7x = 3/14 - 1/7
2/7x = 3 - 2/14
2 = 7x/14
x = 4
3. 4+10 = x/2
14 × 2 = x
x = 28
Answer:
The formula for the volume of a cylinder is:
V= pi * radius^2 * height
When the values are plugged in, you would have:
V= pi * 7^2 * 14
Then simplified....
V= pi * 49 * 14
V= pi * 686
V= 2155.13256036
and when rounded to the nearest inch...
the volume would be approximately 2155 inches.
Answer:
The shape of the graph of f(x)=x is that of a linear function.
Step-by-step explanation:
The graph f(x)=x is the parent function of the linear function. It is a positive function since it goes upward from left to right, and it passes through the point of (0,0). It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x. Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.
Answer:
Option C) Angle 6 and 7 only
Step-by-step explanation:
Two angles are called supplementary when their measures add up to 180 degrees.
So here the angle supplementary to Angle 5 would be 6, since adding both would get us 180 degrees. Then there's angle 7 which would also give us 180 degrees when added to angle 5.
Answer:
The product of 8x(5x−6) is 40x^2−48x
The product of (x−3)(5x−6) is 5x^2−21x+18
Step-by-step explanation:
<u><em>Verify each option</em></u>
Part 1) The product of 8x(5x−6) is 40x^2−48x
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 2) The product of −4x(2x2+1) is −8x^3−5x
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true
Part 3) The product of (x−3)(5x−6) is 5x^2−21x+18
we have

Applying distributive property

Compare with the given value

therefore
The statement is true
Part 4) The product of (2x+3)(x^2+3x−5) is 2x^3+9x^2+9x−25
we have

Applying distributive property

Compare with the given value

therefore
The statement is not true