Answer:

Step-by-step explanation:
Given that,
Center = (2,-9)
Radius of the circle, r = 7
We need to find the equation of a circle with a center at (2, -9) and a radius of 7. It can be given by :

Put h = 2, k = -9 and r = 7 So,

Hence, this is the required solution.
Answer:
see the explanation
Step-by-step explanation:
we know that
If the triangular piece of sheet metal is a right triangle, then the side lengths must satisfy the Pythagorean Theorem
so

where
c is the hypotenuse (the greater side)
a and b are the legs of triangle
we have

substitute


----> is true
so
The side lengths satisfy the Pythagorean Theorem
therefore
The triangular piece of sheet metal is a right triangle