9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
The first statement and the second statement are FALSE.
In mathematics, a function<span> is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the </span>function<span> that relates each real number x to its square x</span>2<span>.
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I hope my answer has come to your help. God bless you and have a nice day ahead!
Answer:
The square root of 169 is 13.
Step-by-step explanation:
Answer:
6 seconds
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Step-by-step explanation:
let the entire length of path x
The object travels (1/8) of the length of the path (3/4) in second.
using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following
Length : time
1/8 x : 3/4 sec.
x : (total time)
using scissors metod
Total time = x * (3/4) / ( 1/8 x) = (3/4) / (1/8) = 6 seconds
