Perpendicular lines intersect and form 4 right angles (90 degree angles)
Answer:
The diameter of circle is 5√2 feet or 7.07 feet
Step-by-step explanation:
First, you have to find the side length of the square by using area formula :
As you look at the diagram, the diagonal(hypotenuse) of the square is equals to the diameter of circle. So you have to apply Pythogoras Theorem' :
Answer:
113.1
Explanation:
C=2πr
Answer:
D and E
Step-by-step explanation:
x² = 15 ( take square root of both sides )
x = ±
that is
x = , x = -
Answer:
f(g(x)) = x
Explanation:
In order to prove that one function is the inverse of the other, all you have to do is substitute in the main function with the inverse one and solve. If the result is x, then it is verified that one function is the inverse of the other.
Now for the given functions we have:
<span>f(x) =5x-25
</span><span>g(x) = (1/5)x+5
We want to prove that g(x) is the inverse of f(x).
Substitute in the above formula and compute the result as follows:
f(g(x)) = 5(</span>(1/5)x+5) - 25
= x + 25 - 25
= x
The final result is "x", therefore, it is verified that g(x) is the inverse of f(x)
Hope this helps :)