As follows:
x^2 - y^2 + z^2 - 2xz + x + y - z = (x - y - z + 1)(x + y - z)
"...Graph x(θ)=2cosθ,y(θ)=5sinθ , where [0,π] ...."
Here's the graph. You can use it to answer the questions.
The following image should help:
"A right triangle has an area of 24 and a perimeter of 40. What is the hypotenuse of the right triangle?"
See yesterday's answer here: https://web2.0calc.com/questions/what-is-the-vector-that-results-from-transforming_1#r1
"Find the center of the circle passing through the points (0,0), (3,0), and (0,4)."
For the incenter we must have AI = BI = CI, so equate any two of the lengths and solve for X.