In the Cartesian plane, Quadrant II contains points where x is negative and y is positive.
Since (-3, 8) has x = -3 (negative) and y = 8 (positive), it lies in Quadrant II.
To solve for x, add 7 to both sides of the equation:
2x - 7 + 7 = -8 + 7
2x = -1
Divide both sides by 2:
x = -1/2
When a quadratic polynomial (degree 2) is divided by a linear factor (degree 1), the quotient will have a degree one less than the original polynomial.
That means the result will be a linear polynomial (degree 1).
To simplify the expression, follow the order of operations:
2(7x - 3) + 5(-2x + 6)
Distribute the coefficients:
14x - 6 - 10x + 30
Combine like terms:
4x + 24
Given:
Sum = 2300
Average = 46
Number of quantities = Sum / Average
= 2300 / 46
= 50
(x - y)^2 = x^2 - 2xy + y^2 and (x + y)^2 = x^2 + 2xy + y^2.
Subtracting these, we get: x^2 - 2xy + y^2 - (x^2 + 2xy + y^2) = x^2 - 2xy + y^2 - x^2 - 2xy - y^2 = -4xy.
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