Answer:
The dimension that maximizes area is 144ft by 144ft
Step-by-step explanation:
Given
-- perimeter
Required
The dimension that gives maximum area
Perimeter is calculated as:
So, we have:
Divide through by 2
Make L the subject
Area is calculated as:
Substitute
Open bracket
Differentiate A with respect to W
Set to 0 to calculate W
Collect like terms
Divide by 2
Recall that:
The horizontal distance between E and F is:
dx = 11 - 4 = 7
The vertical distance between E and F is:
dy = abs (4 - 8) = 4
Since the ratio is 1:5, that means there are 6 equal parts of line EF. Dividing the distances by 6,
dx/6 = 1.1667
dy/6 = 0.6667
Since point R is located below and to the right of point E, we add dx/6 to the x coordinate and subtract dy/6 from the y coordinate of E:
R(4+1.1667, 8-0.6667) = R (5.17, 7.33)
The answer is the 3rd option.
Answer:
The answer is x = -32
Step-by-step explanation:
In order to find the value of x, e must first distribute the 6 into the parenthesis.
6(x - 7) = 8x + 22
6x - 42 = 8x + 22
Now we will add/subtract values so that all x values are on the right and all number values are on the left.
6x - 42 = 8x + 22
-42 = 2x + 22
-64 = 2x
Now to get the final answer, divide both sides by 2.
-32 = x
Answer:
10
Step-by-step explanation:
360=95+95+15+7x+15+7x
360-95-95-15-15=7x+7x
140=14x
140/14=x
10=x
