Answer:
48
Step-by-step explanation:
is basically the horizontal axis.
First, find the integral of x^2-25.
Remember that
integral of a constant is that constant times x.
Also that
to take the integral of a power function, add 1 to the degree and divide by that same degree.
We then get
Evaluate at -3
Then we evaluate at 0
Next, we subtract the the answer then we get
Answer:
C = 13
Step-by-step explanation:
+
=
+
= 169
= 13
<u><em>Answer:</em></u>
Area of the polygon = 59 in²
<u><em>Explanation:</em></u>
From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle
<u>Therefore:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>1- getting the area of the upper triangle:</u>
<u>We have:</u>
base of triangle = 7 in
height of triangle = 6 in
<u>Therefore:</u>
Area of upper triangle = in²
<u>2- getting the area of the side triangle:</u>
<u>We have:</u>
base of triangle = 4 in
height of triangle = 5 in
<u>Therefore:</u>
Area of upper triangle = in²
<u>3- getting the area of the rectangle:</u>
<u>We have:</u>
length of rectangle = 7 in
width of rectangle = 4 in
<u>Therefore:</u>
Area of rectangle = length x width = 7 x 4 = 28 in²
<u>4- getting the total area of the polygon:</u>
Area of polygon =
area of upper triangle + area of side triangle + area of rectangle
<u>Therefore:</u>
Area of polygon = 21 + 10 + 28 = 59 in²
Hope this helps :)