Answer:
63 square inches
Step-by-step explanation:
You already have the polgygon divided into two rectangles, so we will use them.
The top rectangle has the dimensions of 5 and 9.
The bottom rectangle has the dimensions of 6 and 3.
To find the area of a rectangle:
area = length x width
A = lw
The area of the top rectangle:
A = 5 x 9
A = 45 square inches
The area of the bottom rectangle:
A = 6 x 3
A = 18 square inches
To find the total area, add the two areas together.
45 + 18 = 63 square inches
Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
_____
Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
The inverse of subtraction is addition
There can be no negative in a sqrt
so x+1 must be equal or greater then 0
x+1

0
x

-1
so all answers must be greater then or equal to -1
-1,0,1,2,3,4,5,6,7,8
(-1,infinity) is the domain