Answer:
l = 12
Step-by-step explanation:
Let l = length
width = l+9
The area of rectangle is
A = lw
A = l * (l+9)
252 = l^2 +9l
Subtract 252 from each side
0 = l^2 +9l -252
Factor
What 2 numbers multiply to -252 and add to 9
21*-12 = 252
21-12 = 9
0 = (l+21) (l-12)
Using the zero product property
l+21=0 l-12=0
l = -21 l = 12
We cannot have a negative length
12 inches
W = 9 + L
WL = 252
L = 12
cups plaster of paris.
Given:
for one batch of sidewalk chalk = cup plaster of paris.
Number of bathes = 3
We need to find quantity of plaster of paris.
Solution:
For making 1 batch of sidewalk chalk = cup plaster of paris.
For making 3 batches of sidewalk chalk = cup plaster of paris.
Therefore, he needed cups plaster of paris.
x = 9
First equation = 4x - 8
Second equation = 7x - 35
Seperate the equation with an equal sign to make it an equality equation and solve for X so :
4x - 8 = 7x - 35 (Given)
-3x - 8 = -35 (Subtraction property of equality)
-3x = -27 (Addition property of equality)
x = 9 (Division property of equality)
1. 6
2. 23
1.
logx+1 ( x^2 + 2x + 1)^3
= 3logx+1 ( x^2 + 2x + 1)
= 3 logx+1 (x + 1)^2
= 6 logx+1 (x + 1) Now the logx+1 x+1 = 1 so
The answer is 6.
2.
log11 11^23
= 23 log11 11
As in question 1 log11 11 = 1
So the answer is 23.