Answer:
a.
Step-by-step explanation:
A catenary looks a lot like a parabola. Only graph "a" has that appearance.
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A graphing calculator can help you choose, or you can recognize the nature of the terms of the sum.
e^x looks like graph D; e^-x looks like graph B. Their sum will always be positive, so cannot create graph C. At x=0, the average of the two graphs B and D will be 1, corresponding to the minimum of graph A.
(x−a)(x−b)
=(x+−a)(x+−b)
=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)
=x2−bx−ax+ab
<h2><u><em>
=ab−ax−bx+x2</em></u></h2>
Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
