Answer:
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
So:
The smaller rectangle
The difference between this areas give the area of the shaded region.
So:
Open brackets
Collect like terms
<em>The above equation can be used to solve for x</em>
The surface area of this is letter B.
Answer:
A rectangle is defined by its length = L, and its width = W.
So the perimeter of the of the rectangle can be written as:
Perimeter = 2*L + 2*W.
In this case, we want to leave the perimeter fixed, so we have:
24ft = 2*L + 2*W.
Now, we do not have any other restrictions, so to know the different dimensions now we can write this as a function, by isolating one of the variables.
2*L = 24ft - 2*W
L = 12ft - W.
or:
L(W) = 12ft - W.
Such that:
W must be greater than zero (because we can not have negative or zero width).
And W must be smaller than 12ft (because in that case we would have zero or negative length)
Then the possible different dimensions are given by:
L(W) = 12ft - W
0ft < W < 12ft.
Answer:
II (THE Second one )
Step-by-step explanation:
Because when you substitute X by (-2)
you will get :
y=(-2)^2 - 6(-2) - 16 = Zero
So, -2 is not including in the interval .
Answer:
B
Step-by-step explanation:
Subtract 150 from both sides
-5r ≥ -62.5
Divide both sides by -5
r ≤ 12.5
(The greater than sign flips around when you divide or multiply both sides by a negative number)
