-59 = -(b − -55)
Pretend that there is a -1 in front of the bracket.
-59= -1(b--55)
Multiply the bracket by -1
-59= -1(b)-1(--55)
-59= -b-55
Move -55 to the other side. Sign changes from -55 to 55
-59+55= -b-55+55
-59+55= -b
-4= -b
Multiply by -1
-4(-1)= -b(-1)
4= b
Answer: b= 4
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,
Shape 1: 6 inch.
Shape 2: 12 inch.
Shape 3: 9 inch.
My answer is A (the first graph picture). Here is my explanation.
1. 2x = 24 - 4y (Move the variable to the right side and change the sign)
2. X = 12 - 2y (Divide both sides of the equation by 2)
3. Y = 6 and X = 12 (I used my graphing calculator and A is what I got)
Hope this helps, if not, then I apologize! :)
