Answer:
There are two possible values for r (area): r =-7 or r=3
Step-by-step explanation:
Given the rectangular rug area is:
We have to convert the above equation into factored form.
So two numbers whose product is -21r² and sum is -4r
<=>
=
= r (r -7) + 3(r -7)
= (r-7)(r+3)
We set = 0
<=> (r-7)(r+3) = 0
<=> (r-7) = 0 or (r+3) = 0
<=> r =-7 or r=3
So, there are two possible values for r (area): r =-7 or r=3
An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
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