If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
Answer:
Step-by-step explanation:
"The graph of f(x) is a horizontal compression of the graph of the parent function" is true; the graph will appear to be narrower than that of y = |x|. I would prefer to state "the graph of f(x) exhibits vertical stretching of the original (parent) function graph."
Answer:

Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:

If both numerator and denominator are decreased by six, the fraction becomes:

The simplified result is 
Therefore:

Substituting x=40 into the initial fraction

Therefore, the original fraction is 
Answer: 500,000
Step-by-step explanation:
3.5M/7=500,000
Answer:
180=2x+ 24( angles opposite to equal sides)
156/2=x
x=78
Step-by-step explanation: