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
Ainat [17]
3 years ago
13

Which is the equation of a circle that has a center of (-1, 3) and passes through the point (3, 6)?

Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0

Step-by-step explanation:

The general equation of a circle with center (h,k) and radius r passing through a point (x,y) is given by

{(x - h)}^{2}  +   {(y - k)}^{2}  =  {r}^{2}

Here, r²= {3-(-1)}²+(6-3)²

=( 3+1)²+(3)²

= 16+9

= 25

So, the equation;

{x-(-1)}²+(y-3)²= 25

or,(x+1)²+(y-3)²=25

or, x²+2x+1+y²-6y+9-25=0

or,x²+y²+2x-6y-15=0

Anna [14]3 years ago
4 0

<em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>5</em><em>.</em><em> </em><em>Hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

You might be interested in
Anthony read 5 6 hour each day for 5 days. as an equation
ivanzaharov [21]

Answer: 56x÷5=?

Step-by-step explanation:11.2 hours a day

6 0
2 years ago
15
const2013 [10]

Answer:

huh ano ba yan

Step-by-step explanation:

di ko maintindihan

3 0
2 years ago
48 cookies; 50% increase​
saul85 [17]

Answer:

72

Step-by-step explanation:

48÷2= 24

48+24= 72

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
. Given ????(5, −4) and T(−8,12):
damaskus [11]

Answer:

a)y=\dfrac{13x}{16}-\dfrac{129}{16}

b)y = \dfrac{13x}{16}+ \dfrac{37}{2}

Step-by-step explanation:

Given two points: S(5,-4) and T(-8,12)

Since in both questions,a and b, we're asked to find lines that are perpendicular to ST. So, we'll do that first!

Perpendicular to ST:

the equation of any line is given by: y = mx + c where, m is the slope(also known as gradient), and c is the y-intercept.

to find the perpendicular of ST <u>we first need to find the gradient of ST, using the gradient formula.</u>

m = \dfrac{y_2 - y_1}{x_2 - x_1}

the coordinates of S and T can be used here. (it doesn't matter if you choose them in any order: S can be either x_1 and y_1 or x_2 and y_2)

m = \dfrac{12 - (-4)}{(-8) - 5}

m = \dfrac{-16}{13}

to find the perpendicular of this gradient: we'll use:

m_1m_2=-1

both m_1and m_2 denote slopes that are perpendicular to each other. So if m_1 = \dfrac{12 - (-4)}{(-8) - 5}, then we can solve for m_2 for the slop of ther perpendicular!

\left(\dfrac{-16}{13}\right)m_2=-1

m_2=\dfrac{13}{16}:: this is the slope of the perpendicular

a) Line through S and Perpendicular to ST

to find any equation of the line all we need is the slope m and the points (x,y). And plug into the equation: (y - y_1) = m(x-x_1)

side note: you can also use the y = mx + c to find the equation of the line. both of these equations are the same. but I prefer (and also recommend) to use the former equation since the value of 'c' comes out on its own.

(y - y_1) = m(x-x_1)

we have the slope of the perpendicular to ST i.e m=\dfrac{13}{16}

and the line should pass throught S as well, i.e (5,-4). Plugging all these values in the equation we'll get.

(y - (-4)) = \dfrac{13}{16}(x-5)

y +4 = \dfrac{13x}{16}-\dfrac{65}{16}

y = \dfrac{13x}{16}-\dfrac{65}{16}-4

y=\dfrac{13x}{16}-\dfrac{129}{16}

this is the equation of the line that is perpendicular to ST and passes through S

a) Line through T and Perpendicular to ST

we'll do the same thing for T(-8,12)

(y - y_1) = m(x-x_1)

(y -12) = \dfrac{13}{16}(x+8)

y = \dfrac{13x}{16}+ \dfrac{104}{16}+12

y = \dfrac{13x}{16}+ \dfrac{37}{2}

this is the equation of the line that is perpendicular to ST and passes through T

7 0
3 years ago
Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a p
Tresset [83]

Answer:

it's 25, just did it

Step-by-step explanation:

1 /2  o f  ( − 10 ) =  − 5 ,  ( − 5 )^ 2  =  25

8 0
3 years ago
Read 2 more answers
Other questions:
  • Samantha wants to use her savings of $1150 to buy shirts and watches for her family. the total price of the shirts she bought wa
    11·2 answers
  • HELP ME PLEASE !! Anybody
    10·1 answer
  • Solve the inequality. Please!
    14·1 answer
  • A cuboid measures 60cm by 40cm by 20cm.
    11·1 answer
  • 2e - 12 = 7e + 8<br> 2e-12=7e+8
    14·1 answer
  • The following dataset represents the number of registered students for 60 college courses, sorted and arranged in rows of 5. Wha
    10·1 answer
  • Kelly is playing a computer game to help her learn about science. Her scores for the first six games were 10,12,10,8,14 and 15.
    6·2 answers
  • HELP PLEASE!!!!!! POINTS WILL BE GIVEN!!
    13·1 answer
  • I’ll mark you brainliest
    7·1 answer
  • I need to know what formula to use in order to figure out the problems. You do not have to solve, I can do that. I just need a f
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!