Can someone help me with this ASAP please and thank you

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

C. I and IV only

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.