<em><u>Answer is 5, 6, & 7</u></em>
x = smallest number
y = x + 1
z = x + 2
(x)(y) = z^2 - 19
(x)(x+1) = (x + 2)^2 - 19
(x^2 + x) = (x^2 + 4x + 4) - 19
x^2 + x = x^2 + 4x + 4 - 19
x^2 term drops out from both sides
x = 4x + -15
15 = 4x - x
15 = 3x
15/3 = x
x = 5
y = x + 1 = 6
z = x + 2 = 7
Confirm by substituting back in for the variables:
(x)(y) = z^2 - 19
(5)(6) = (7)^2 - 19
30 = 49 - 19
30 = 30 <em><u>[OK]</u></em>
The sides of the rectangle are aligned with the coordinate axes, so the dimensions of the rectangle are easily determined to be 4 -(-7) = 11 units by 1 -(-1) = 2 units. As with any rectangle, the area is the product of length and width.
The area is 11*2 = 22 square units.
I hope this helps you
x^2=50
x= 5 square root of 2
<span>A) Goats that weigh exactly 50 or 60 pounds fall into two classes. would be the right answer</span>