A university has raised $8,000 for a new scholarship fund. A university trustee offers to match the donation up to 60% if the un
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<h2>Function is y = x.</h2><h2>Domain:Step-by-step explanation:
In the given image, the line passes through (-1, -1) and (1, 1).
Let the equation of the line is , where m is the tangent of the line and c is a constant.
Putting the co-ordinates of the points in the equation, we get and
From the two equations we get, c = 0 and m = 1.
Hence, the function is y = x.
Domain is .
Range is
Below represents the proof that the quadrilateral QRST is a parallelogram
<h3>How to prove that QRST is a parallelogram?</h3>The coordinates are given as:
Q = (-1,-1)
R = (2,9)
S = (-4,5)
T = (-7,-5)
Calculate the length of each side using:
So, we have:
The above computations show that opposite sides are equal.
Next, we determine the slope of each side using:
So, we have:
The above computations show that opposite sides are parallel, because they have equal slope
Hence, the quadrilateral QRST is a parallelogram
Read more about parallelograms at:
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