Answer:
42ft
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
So that little triangle section:
1/2 * 2 * 3 = 1/2 * 6 = 3
Now we do the rectangle Section:
Area of a rectangle = length * width
So that rectangle is 3 * 7 = 21
If you eliminate those two shapes, you are left with a trapezoid.
Area of a trapezoid is 1/2 * (base 1 + base 2) * height
Base 1 is 3 which is the width of the rectangle.
Base 2 is the 6.
The height is the given 11 feet subtracted by the 7 feet from the length of the rectangle which is 4.
Plug all this in to the formula you get 1/2 * (6 + 3) * 4 = 1/2 * 9 * 4 = 1/2 * 36 = 18.
Now add all of your areas together;
21 + 3 + 18 = 24 + 18 = 42
We have the following product:
-2x ^ 2y ^ 3 · 14x ^ 2y ^ 3
For power properties we have:
"same base add the exponents"
We have then:
(-2 * 14) (x ^ (2 + 2)) (y ^ (3 + 3))
-28x ^ 4y ^ 6
Answer:
The product -2x ^ 2y ^ 3 · 14x ^ 2y ^ 3 is:
-28x ^ 4y ^ 6
Answer:
The perimeter of the polygon is 
Step-by-step explanation:
we know that
The perimeter is the sum of the length sides of the polygon
In this problem
P=XY+YZ+XZ
the formula to calculate the distance between two points is equal to
step 1
Find the distance XY
we have
X(−1, 3), Y(3, 0)
substitute
step 2
Find the distance YZ
we have
Y(3, 0), Z(−1,−2)
substitute
step 3
Find the distance XZ
we have
X(−1, 3), Z(−1,−2)
substitute
step 4
Find the perimeter
P=XY+YZ+XZ
