Answer:
yes, it is a right triangle and ∡Q is the right angle
Step-by-step explanation:
if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle
slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1
slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1
-1 and 1 are opposite and reciprocal so m∡Q = 90°
I see your last line is : c(x) = 0.9(x^2-10)^2 + 101.1
Let y = x^2, then c(y) = 0.9(y-10)^2 + 101.1
Apparently, c(y) is a parabola, min is 101.1 when y = 10, max is infinity
So let x^2 = 10 -> x = sqrt(10) or -sqrt(10), min is 101.1, max is infinity
the answer is 11/4
The unit rate of change between variables is the quotient between the difference between y-values and the difference between x-values
