- Given, x > 0, y > 0.
- So, the values of x and y are less than 0, that means, they are negative integers.
- If we divide a Cartesian plane with the x-axis and y-axis, we get four quadrants.
- 1st Quadrant : (+,+)
- 2nd Quadrant : (-,+)
- 3rd Quadrant : (-,-)
- 4th Quadrant : (+,-)
- Since the values of x and y are both negative, so (x, y) is located in the <em><u>3rd Quadrant</u></em>.
Hope you could get an idea from here.
Doubt clarification - use comment section
Prime factorize the two numbers:
666 = 2 x 3 x 3 x 37
888 = 2 x 2 x 2 x 3 x 37
Notice I lined up all the numbers into columns. If they appear for both numbers they are paired. The lowest common multiple is the product of all the unique columns:
LCM = 2 x 2 x 2 x 3 x 3 x 37 = 2664
You can use this strategy for as many numbers as you want. Also, you could find the greatest common factor by multiplying only the paired columns.
y² - 4y - 2x - 4 = 0
<u> +2x +4 </u> <u>+2x + 4 </u>
y² - 4y = 2x + 4
<u> +4 </u> <u> +4 </u>
(y - 2)² = 2x + 8
<u> -8 </u> <u> -8 </u>
(y - 2)² - 8 = 2x
(y - 2)² - 4 = x
x = (y - 2)² - 4
<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>
It already is in simplest form. In mixed fraction, it would be 9 1/7
The answer would be A,B,A
