Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

Solve for x. On the right, combine like terms:

Subtract 3x from both sides:

So, the value of x is 10.
To find the value of FG, substitute 10 into its x:

Multiply:

Add:

And we're done!
Answer:
16x² +48x +36
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a +b)² = a² +2ab +b²
We want to match this form.
__
<h3>comparing terms</h3>
Comparing the known terms, we see ...
16x² = a² ⇒ a = 4x
36 = b² ⇒ b = 6
<h3>filling in the missing term</h3>
The missing term is the linear term:
2ab = 2(4x)(6) = 48x
? = 48
Answer:
The circle's diameter is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to

where
D is the diameter of the circle
In this problem we have


substitute the values and solve for D


Answer:
It tell the direction and the steepness of the line. Which means how much they rise or how much they fall, horizontal or vertical. It represent by the letter m
Step-by-step explanation:
m= y/x
more detail
m= y₂ - y₁ / x₂ - x₁