What is the area of the rectangle with the following coordinates: (x, y), (10, y), (10, 5), (x, 5)?
Answer(s): E
First of all, draw the rectangle with the given coordinates.You can see that only one side of the rectangle is given and not the second, therefore there isn’t enough data to answer the question.
What is the area of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
Answer(s): D
First of all, draw the square with the given coordinates.We know only one of the square’s sides but it’s enough because it is a square and both sides are equal. The area, therefore, is (15 x 15 = 225).
If x and y are positive integers (x>y), what is the units’ digit of (10x – 9y)2 ?
Try some numbers, x=2, y=1.(106 – 92)2 = 81. And it will work with any given number under the conditions given.
If (R, R2 + 1) is the (x, y) coordinate of a point located on the line: Y = 2X + 4, what Can be the value of the parameter R?
If the point is on the line then you can plug the coordinate into the equation. Y = 2X + 4 R2+1 = 2R + 4 R= 3 or R= -1. Therefore, the best answer is D.
A(5, w3) is the (x, y) coordinate of point located on the parabola Y = X2 + 2. What is the value of w?
Answer(s): A
Plug into the equation the coordinate to get: w3 = 52 + 2 = 27 w = 3.
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