Answer:
-2x+62
Step-by-step explanation:
-2x+3-(5-64)
-2x+3-5+64
-2x-2+64
-2x+62
Answer:
15 hip hop performances
12 ballet performances
Step-by-step explanation:
5:4 (multiply by 3)
15:12
The distance formula is d = (x^2 + y^2)^(1/2) This is the same equation used for both. In other words, the equation of a circle gives the radius of the circle in terms of x and y, while the distance formula gives the distance from the origin to the final point in terms of x a
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,
