Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
6 1/8 - (3 3/8 + 2 1/8) =
6 1/8 - (5 4/8) =
5 9/8 - 5 4/8 =
5/8 yds <===
We have that
<span>y=3x</span>²<span>+18x-21
using a graph tool
see the attached figure
the solutions are
x=-7x=1</span>
Answer:
8%
Step-by-step explanation:
Its still 8% of her money
Answer:
Step-by-step explanation:
We have been an integral 
. We are asked to find the general solution for the given indefinite integral.
We can rewrite our given integral as:
Now, we will apply the sum rule of integrals as:
Using common integral 
, we will get:
Now, we will use power rule of integrals as:
We know that integral of a constant is equal to constant times x, so integral of 1 would be x.
Therefore, our required integral would be .
