Write the general equation for the circle that passes through the points:

(1, 7)

(8, 6)

(7, -1)

You must include the appropriate sign (+ or -) in your answer. Do not use spaces in your answer.

x 2 + y 2
a0 x
a1 y = 0

The answer to your question is     x² + y² - 8x - 6y = 0

Step-by-step explanation:

Data

P (1, 7)

Q (8, 6)

R (7, -1)

Use the general equation of the Circle

                            x² + y² + Dx + Ey + F = 0

Process

1.- Substitute each point in the general equation and simplify

For P                                  

                          (1)² + (7)² + D + 7E + F = 0

                            1 + 49 + D + 7E + F = 0

                                 50 + D + 7E + F = 0

                                       D + 7E + F = -50             Equation l

For Q

                           (8)² + (6)² + 8D + 6E + F = 0

                            64 + 36 + 8D + 6E + F = 0

                            100 + 8D + 6E + F = 0

                                    8D + 6E + F = -100         Equation ll

For R

                           (7)² + (-1)² + 7D - E + F = 0

                           49 + 1 + 7D - E + F = 0

                                50 + 7D - E + F = 0

                                         7D - E + F = -50       Equation lll

Solve the system of equations, I do not include the process but the solutions are

D = -8   E = -6   F = 0

-Substitution

                       x² + y² - 8x - 6y = 0

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

21

jk it's 20

step-by-step explanation: