Answer:
C
Step-by-step explanation:
To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.
Semi-circle:
The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into 
. However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is 
. The semi circle in the shape is the areas subtracted which equals 12π.
Rectangle:
The area of the rectangle is found using A = b*h = 2*5 = 10.
The total area is 12π + 10 meters squared.
Answer:
34.086
Step-by-step explanation:
calculator
9t - 3t + 4
= 6t + 4
(hence 9-3)
you can do this due to the t being the same unit (classified as a like term). if it were 9t - 3g + 4, it would have to stay the same.
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
