Answer:
1x + 5
Step-by-step explanation:
Since the area of a rectangle of width w and length l is A = l*w,
length = Area / Width.
Here, x^2 + 8x + 15
length of rectangle = ----------------------
x + 3
Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).
-3 / 1 8 15
-3 -15
-------------------------
1 5 0
Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.
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Because the two angles equal each other:
80=20x and solve for x
These are corresponding angles
Answer:
660
Step-by-step explanation:
Let A = number of buttons in Box A
and B = number of buttons in Box B
We have two conditions:
(1) A + B = 1200
(2) B + 360 = 3(A – 360) Remove parentheses
B + 360 = 3A - 1080 Subtract 360 from each side
(3) B = 3A - 1440 Substitute (3) into (1)
A + 3A - 1440 = 1200 Combine like terms
4A - 1440 = 1200 Add 1440 to each side
4A = 2640 Divide each side by 4
A = 660
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This woud be Seven(x) cubed minus 1.