There are 2 short sides x and 1 long side y.
x+x+y=1,800
2x+y=1,800
y=1,800-2x
The area of the rectangle is A=x(1,800-x).
A is a function with variable x. Moreover it is a quadratic (second degree) function.
The graph of the function is a parabola which opens downwards, because the signs of the leading coefficients of the factors, multiply to minus:
(x)(-x)=-x^2.
This means that the highest point of the parabola, is its vertex V(h,k), so the function takes its largest value for x=h.
The roots of A=x(1,800-x) are x=0 and x=1,800, thus the x coordinate of the vertex, must be the midpoint of 0 and 1,800, that is 900.
Answer:
A=x(1,800-x)
largest area is when x=900
Answer:
the first one for sure.
Step-by-step explanation:
Answer:
x = 55
Step-by-step explanation:
A triangle equals 180 degrees, b will be used to find the missing angle.
21 + 34 + b = 180
55 + b = 180
subtract 55 from both sides
b = 125
A straight line is 180 degrees and the b, the missing angle, and x are supplementary angles so
125 + x = 180
x = 55
Parallel lines run along side of each other, but never intersect.
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<== these are parallel lines...they never cross
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