Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
0.428571428571
135/6 = 22 remainder 3
The 3rd digit is 8
Therefore, the 135th digit to the right of the decimal point is 8.
The decimal equivalent of 3/10 is .3
Answer:
x = 11
x = 7
Step-by-step explanation:
divide each side by 3 to get:
(x-4)² = 9
(x-4)² is the difference of two squares and has these factors:
(x+2)(x-2) = 9
x + 2 = 9; x = 7
x - 2 = 9; x = 11
Answer:
Length: 16 feet
Width: 25 feet
Step-by-step explanation:
Alright so let's set up our system:
The area of a rectangular patio is 400 square feet.: L*W = 400
The length of the patio is 9 feet more than its width: L = W - 9
If you look here, all we need to do now is plug in L and solve.
(W - 9)W = 400
W^2-9W - 400 = 0
You can attempt to factor this in a number of ways. I recommend a factor tree, but however you do that is fine.
(W + 16)(W - 25) = 0
so we have two W values now, 25 and -16. Which one do we pick? We pick 25, because we cannot have a negative Width. That would literally break the universe.
So now we plug in 25 in our second equation to get L:
L = 25 - 9
L = 16
And now we have both our answers!