
is a right triangle with base length 1 and height 8, so the area of

is

.
The average value of

over

is given by the ratio

The denominator is just the area of

, which we already know. The average value is then simplified to

In the

-plane, we can describe the region

as all points

that lie between the lines

and

(the lines which coincide with the triangle's base and hypotenuse, respectively), taking

. So, the integral is given by, and evaluates to,



If PQ is 14, each segment, PR and RQ will be 7.
14 = PR + 7.
Answer:
22
Step-by-step explanation:
We know that AC = 2 * AB so we can write:
12x - 4 = 2(5/2 x + 12)
12x - 4 = 5x + 24
7x = 28
x = 4
Since AB = BC the answer is 5/2 * 4 + 12 = 22.
Answer:
(9sqrt13)/13
Step-by-step explanation: