The answer should be:
x = 5
So the answer is basically 5
You use a system of equations to solve this.
x will be one integer and y will be the other.
2y - 7 = x
x^2 + y^2 = 433
You can plug (2y - 7) in for x in the second equation.
(2y - 7)^2 + y^2 = 433
4y^2 - 28y + 49 + y^2 = 433
5y^2 - 28y -384 = 0
y = 12 or -32/5
It has to be 12 since -32/5 is not an integer.
Plug 12 in for y to get x.
2(12) - 7 = x
x = 17
The integers are 12 and 17.
The formula for reflecting preimages about the y-axis is (-x,y). This means that you would have to switch the x-coordinate's sign on each of the coordinates. So the coordinates would be W(-2,2), X(-4,3), Y(-5,2), and Z(-4,1). Now you have to translate the image. Translating it 3 units to the right would make you add 3 to each of the coordinates. The coordinates are now W(1,2), X(-1,3), Y(-2,2), and Z(-1,1). Now, I don't know if you meant that the y-coordinate is translated up or down 4 units, so I'll do both. For up, you would add 4 to each of the y-coordinates, and the new points would be W(1,6), X(-1,7), Y(-2,6), and Z(-1,5). For down, you would have to subtract 4 from each of the y-coordinates. The coordinates would be W(1,-2), X(-1,-1), Y(-2,-2), and Z(-4,-3). Those are your possible answers. I hope this helps.
The value of the 4 in this number would be 4,000 because it is in the thousands place.
