Y = kx where k is a constant
27 = k*9
k = 27/9 = 3
required variation is y = 3x
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
<em>Correct me if I'm wrong but...</em>
<em>1st you would choose two ordered pairs. Like, for instance, in the graph I only see (-4,-4) & (6,8) as whole points. Then, you would use the formula: Y2 - Y1*line*X2-X1. Then, if you need to simplify, you can simplify. After that, put it in Point-Slope Form: Y-Y1=m(x-X1) and there is your answer.</em>
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:


k = 1300
For the similar beam:

L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
Answer: The average speed of the rollercoaster is 30 meters per second.
Step-by-step explanation:
Hi, since:
Speed rate = distance /time
To answer this question we simply have to divide the length (distance) of the rollercoaster (3,000 meters) by the time spent on traveling it (100 seconds)
Mathematically speaking;
3000 meters / 100 seconds = 30 meters per second
The average speed of the rollercoaster is 30 meters per second.