Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Answer:
y = 14 years
Step-by-step explanation:
Keesha
55000 + 2500y
Latonya
62000 + 2000y
Where,
y = number of years
Equate both expressions
55000 + 2500y = 62000 + 2000y
Collect like terms
55,000 - 62,000 = 2,000y - 2,500y
-7,000 = -500y
Divide both sides by -500
y = -7000 / -500
= 14
y = 14 years
Answer:
C
Step-by-step explanation:
It is passing through the y <em><u>and</u></em> the x axis
Answer:
The answer is B. Associative.
Step-by-step explanation:
The reason why its B because the associative property states that even if the numbers are regrouped, the answer will still be the same.
I might be wrong