Answer:
x^2 + 18x + 76 + 5 = 0 + 5
Step-by-step explanation:
The first step is to determine the constant that is needed to be able to write the expression in the desired form. That constant is the square of half the x-term coefficient: (18/2)^2 = 9^2 = 81.
The constant that is present is 76, which is 5 fewer than the needed constant, so the "first step" is to add 5 to both sides of the equation:
x^2 + 18x + 76 + 5 = 0 + 5
Then the next step would be to write the left side as a square:
(x +9)^2 = 5 . . . . . . . p = -9; q= 5
Answer:
13, 14, 15
Step-by-step explanation:
Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42
We can call the lowest integer x,
the next integer x+1 (since our integers need to be even)
the third integer x+2
algebraic equation: 42 = x + (x+1) + (x+2).
Combine like terms on the right side,
42 = 3x + 3
Subtract 3 from each side
39 = 3x
Divide each side by 3
x=13, which is our lowest integer.
The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15
13 + 14 + 15 = 42.
(x+6)(x+6) is the equation to find the area of the second square
Answer:
Tom started out with 57 games but sold 37 of them.
=> Now, Tom has: 57 - 37 =20 games
He put the rest in boxes with 5 games in each.
=> The number of boxes: 20/5 = 4 box
Hope this helps!
:)
