Answer: hypotenuse = 
Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (
) of the right triangle, .i.e.:

In this question:
= 
2bc
Substituing and taking square root to find hypotenuse:

Calculating:


=
, then:


Hypotenuse for the right-angled triangle is
units
Answer: y=x-6
Step-by-step explanation:
2x-2y-12=0
1. Add 2y to both sides:
2x-12=2y
2. Divide both sides by 2
x-6=y
Answer:
See below
Step-by-step explanation:
Remember that quadratic functions are parabolas when graphed. The solutions are where the parabola crosses the x-axis.
1. The vertex of the parabola in f(x) is (0, 9) which is above the x-axis and the parabola opens up. So the parabola does not cross the x-axis. Therefore the solutions are imaginary.
2. The vertex of the parabola in g(x) is (9, 0) which is on the x-axis and parabola opens up. Therefore, there is a double solution.
3. The vertex of the parabola in h(x) is (-1, -9) which is below the x-axis and the parabola opens up. Therefore, there are two real solutions.
I know this is a long explanation, but that is a way of looking at the problem.
Y=4x shows y as the total earnings and x as the number of windows