SOLUTION: Hello, may I please get some assistance on determining the variables to this algebra word problem. The problem is in reference to an arch. It states to use
f(x)=a(x-h)2 +k
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Question 911710: Hello, may I please get some assistance on determining the variables to this algebra word problem. The problem is in reference to an arch. It states to use
f(x)=a(x-h)2 +k
The arch is 290 feet high
The arch is 275 feet wide at ground level.
The function you find should assume that the arch is placed in a coordinate system in which the x axis is at ground level and the y axis goes through the left hand side at ground level. Basically I need to know where on the arch to position a rope that would reach the bottom of the arch. The word problem references this as a bungee jumping scenerio which is why they are asking for the positioning of the rope on the arch. I am to assume a rope length of 272 feet long. So where on the arch would I place the 272 foot long rope and have it touch the ground level of the arch? I am to use f(x)=a(x-h)2 +k to determine the solution. Thank you!
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
Your bungee chord description is confusing. The equation for the arch can be formed.
The arch is based on and . The vertex has been moved to and .
, and one of the x-intercepts is (0,275).
Substitute the point
Using integers as much as possible,
, for the arch.
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