1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Minchanka [31]
3 years ago
13

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

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

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

You might be interested in
Can someone help me with this? ​
Alecsey [184]
Functions 6 and 7 are linear, 8 is not. This means 6 and 7 have a degree of 1. Since 8 is a quadratic, it has a degree of 2.

The slope is 1 for function 6 and 5 for function 7. Remember, in slope-intercept format, linear equations are written as y=mx+b. X and Y stand for coordinates you can plug in, m represents the slope of the line, and b represents the y-coordinate of the function’s y-intercept. I assume you are familiar with these terms so I won’t explain them.

Number 9 is linear, and you can tell because f(x), which is the output, increases with a constant difference as x increases by 1. In other words, the delta y and delta x is the same between all points.

Number 10 is clearly not linear, because two different x values have the same y value. This is a parabola.

I recommend you graph some of these functions for practice, so you can visualize it better. Imagine the functions as machines. You input a number (x) and you get a number out (y).

For example, in the function f(x)=3x+5, I can input any x, let’s take x as 6, and when I plug it in, I’ll get an output, f(x). 3(6)+5=18+5=23. So my f(x)=23 when x is 6.
7 0
2 years ago
PLEASE ANSWER ASAP!!! YOUR ANSWER MUST INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!
marishachu [46]
Solutions 

29\pi / 18 Radians = 29 x <span>\pi / 18 

Replace </span><span>\pi  with 180 

Now we have 

29 x 180 / 18 

29 x 180 = 5220 

5220 / 18 

= 290</span>°
8 0
3 years ago
Read 2 more answers
Suppose that mean retail price per gallon of regular grade gasoline is $3.45 with a standard deviation of $0.10 and that the ret
Elan Coil [88]

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Step-by-step explanation:

7 0
3 years ago
HELP PLEASE, I NEED TO PASS THIS QUIZ
Nonamiya [84]

Answer:i think its a bc i solved and i got of what the question saysStep-by-step explanation:

7 0
4 years ago
Jonah and his friends go apple picking.jonah fills  5 baskets .each basket holds 15 applesif 14b of jonahs friends pick the same
NNADVOKAT [17]
<span>Jonah and his friends picked apples:
Jonah picked
=> 5 baskets of apples
=> There are 15 apples / basket
Jonah’s friend picked
=> 14 baskets of apples
=> There are 15 apples / basket
x = how may apples are there in all

x = 15 baskets  (5 + 14) apples
x =  75 + 210
x =  285 apples are there in all
x = 19 baskets of apples are there in all

Thus, there are 19 baskets of all with a total of 285 apples did Jonah and his friend picked in all.</span>



8 0
3 years ago
Other questions:
  • Evaluate the expressions. (use only positive exponents in your answers.)
    14·1 answer
  • Can just give answer no need steps​
    14·1 answer
  • Simplify.<br><br> 3 square root of -27n^27<br><br> A. 3n^3<br><br> B. -3n^3<br><br> C. -3n^9
    12·2 answers
  • I don’t understand how to solve it
    15·1 answer
  • Calculate size of angle x. I worked out CA=14cm
    7·1 answer
  • Pls help mehhhhh!!!!!!!!!
    14·1 answer
  • 24*43x22*8x67x890x10*3x6*1x8*1
    9·1 answer
  • Find the sum of 10x^2-10x-610x 2 −10x−6 and x+6x+6.
    6·1 answer
  • Pls help I’m so confused
    12·2 answers
  • Work out 62 x 0.1 , howwwwwwwww
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!