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:
<h2>2x + 5y = -15</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have the equation in point-slope form:
Convert it to the standard form:
<em>multiply both sides by 5</em>
<em>use the distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 35 from both sides</em>
<em>add 2x to both sides</em>
The formula for perimeter is 2(Length) + 2(width)
Fill in the known information:
22 = 2(6.5)+ 2(width)
Simplify:
22 = 13 + 2(width)
Subtract 13 from both sides:
9 = 2(width)
Divide both sides by 2:
Width = 4.5m
Answer: slope of segment KL = slope of segment MN
Step-by-step explanation:
we know that a parallelogram always have two pairs of opposite sides that are parallel and therefore the slopes of the opposite sides must be same to be parallel to each other.
