Please help me to solve the question!

  (x - 2)² + (y - 3)² = 25

Step-by-step explanation:

The equation of a circle is:    (x - h)² + (y - k)² = r²     where

We are given three coordinates. Input those as (x, y) into the circle equation.  This creates a system of equations with 3 equations and 3 unknowns (h, k, r).

EQ1: (5 - h)² + (7 - k)² = r²

EQ2: (-1 - h)² + (7 - k)² = r²

EQ3: (5 - h)² + (-1 - k)² = r²

Evaluate EQ1 & EQ2:

  (5 - h)² + (7 - k)² = r²

-[ (-1 - h)² + (7 - k)² = r² ]

  (5 - h)² - (-1 - h)² = 0

                (5 - h)² = (-1 - h)²

                   5 - h = ±(-1 - h)

         5 - h = -1 - h               5 - h = -(-1 - h)

              6 ≠ 0                     5 - h = 1 + h

          Disregard                       4 = 2h

                                                 2 = h

Input h = 2 into EQ2 & EQ3 and evaluate:

(-1 - 2)² + (7 - k)² = r²    -->      9 + (7 - k)² = r²

(5 - 2)² + (-1 - k)² = r²    -->   - [ 9 + (-1 - k)² = r² ]  

                                      (7 - k)² - (-1 - k)² = 0      

                                                    (7 - k)² = (-1 - k)²      

                                                     7 - k = ±(-1 - k)

                                        7 - k = -1 - k           7 - k = -(-1 - k)

                                             8 ≠ 0                7 - k = 1 + k

                                        Disregard                  6 = 2k

                                                                           3 = k

Input h = 2 and k = 3 into any of the equations to solve for r²:

EQ1: (5 - 2)² + (7 - 3)² = r²

            9     +     16    = r²

                          25   = r²

Input h = 2, k = 3, and r² = 25 into the equation of a circle:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - 3)² = 25

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney

$15 each

step-by-step explanation:

$45/3 children= $15 each