
can also be written as 2i
where i = √-1

Rationalizing denominator,
Answer:
x = 4
Step-by-step explanation:
1. 8x+1 = 33 and the 4x together
2. 8x = 32 subtract 1 from each side
3. x = 4 Divide both sides by 8
Answer:
Surface Area = 157 in^2
Step-by-step explanation:
Surface area is the area of each side added together.
Front = Trapezoid = <u>b1 + b2</u> * h <u> 5 + 9 </u> * 5 = 27.5
2 2
Back = Trapezoid = <u>b1 + b2</u> * h <u> 5 + 9 </u> * 5 = 27.5 27.5
2 2 27.5
Right = Rectangle = l * w 6.4 * 5 = 32 32
Left = Rectangle = l * w 5 * 5 = 25 25
Bottom = Rectangle = l * w 9 * 5 = 45 45
Top = Rectangle = l * w 5 * 5 = 25 <u> 25 </u>
157 in^2
Answer:
625 ft^2
Step-by-step explanation:
Given
--- perimeter
Required
The largest area
The perimeter is calculated as:

So, we have:

Divide both sides by 2

Make L the subject

The area is calculated as:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0; to get the maximum value of W

Collect like terms

Divide by -2

So, the maximum area is:



