For each equation, find a value for x that makes the equation true. 4x/3x=10/3
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Answer: The expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.
Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.
The length of one side of the square patio is represented by x.
We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.
Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be
The length of the patio is increased by 4 feet, so the length of the new patio will be
Now, if the original patio measures 20 feet by 20 feet, then we must have
and
Therefore, the area of the new patio is given by
Thus, the expressions for the length and width of the new patio are
And the area of the new patio is 384 sq. feet.
The points represented are:
The domain is the set of all the inputs, i.e. the set composed by the x-coordinates of these points.
The range is the set of all the outputs, i.e. the set composed by the y-coordinates of these points.
This relation is a function, because you never map two outputs for the same input (i.e. you don't have two points with the same x-coordinate, but different y-coordinates).