Answer:
(x +4)^2 -45
Step-by-step explanation:
The square of a binomial has the form ...
(x +a)^2 = x^2 +2ax +a^2
That is, the constant term (a^2) is the square of half the coefficient of the linear term: (2a/2)^2 = a^2.
To "complete the square", you add 0 in the form of the desired constant added to its opposite. Here, we want the constant for the square to be (8/2)^2 = 16. So, we can add 0 = 16 -16 to the expression:
x^2 +8x +16 -29 -16
(x^2 +8x +16) -45 . . . . group the terms that make the square
(x +4)^2 -45 . . . . rewritten after completing the square
10x^2 - 25 = x^2
Take the square root of each side.
x = 10x - 5i
Answer:
4
Step-by-step explanation:
she can use all 63 beads because 67 divided by 9 is 7 remainder 4
Answer:
D
Step-by-step explanation:
1.4n + 1.2m
1.4n.....the n represents the number of packs of pencils bought.....and each pack of pencils cost 1.4 (which is the same as 1.40)
1.2m...the m represents the number of pads of paper bought...and each pad of paper cost 1.2 (which is the same as 1.20)
the entire expression represents the total cost spent on buying n packs of pencils and m pads of paper
