If A is the midpoint of line segment PR, PA = 7x - 11, and PR = 8x +14, then what is the value of line segment AR?

Given that:

A is the midpoint of line segment PR.

PA = 7x - 11 and PR = 8x +14.

Solution:

Since A is the midpoint of line segment PR.

Using segment addition property, we get

Isolate variable terms.

Divide both sides by 6.

The value of x is 6.

Now,

Therefore, the value of line segment AR is 31 units.

d. vertex

step-by-step explanation:

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204