Answer:
Step-by-step explanation:
Hello!
A line that is perpendicular to another has an opposite-reciprocal slope.
Meaning:
The slope perpendicular to 3/5 would be -5/3.
We can solve for the y-intercept by plugging in the x and y values given from the coordinate into the equation with out new slope.
<h3 /><h3>Solve for B</h3>The y-intercept of the new line is 20.
The equation is
The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
Read more about polynomial at:
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