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
SIZIF [17.4K]
3 years ago
13

Write the equation of the circle with center (−1, −3) and (−7, −5) a point on the circle.

Mathematics
1 answer:
just olya [345]3 years ago
3 0
Wait just a second, what's the radius of the circle anyway?

well, the radius is the segment going from the center of the circle to the circle itself, well, low and behold, if we just get the distance from those two points, that gives us the radius.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -1 &,& -3~) 
%  (c,d)
&&(~ -7 &,& -5~)
\end{array}\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
r=\sqrt{[-7-(-1)]^2+[-5-(-3)]^2}\implies r=\sqrt{(-7+1)^2+(-5+3)^2}
\\\\\\
r=\sqrt{(-6)^2+(-2)^2}\implies r=\sqrt{40}\\\\
-------------------------------

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{-1}{ h},\stackrel{-3}{ k})\qquad \qquad 
radius=\stackrel{\sqrt{40}}{ r}
\\\\\\\
[x-(-1)]^2+[y-(-3)]^2=(\sqrt{40})^2\implies (x+1)^2+(y+3)^2=40
You might be interested in
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Setler79 [48]
0.25 is the probability that you would select a score between 300 and 700. I used the empirical rule when i solved this.
4 0
4 years ago
The as-served cost of a kid's dinner special is $2.25. If the restaurant uses a target cost percentage of 35%, what is the targe
Margaret [11]

Answer:

$3.0375

Step-by-step explanation:

Original price of dinner = $2.25

If cost percentage of 35%, then the additional cost paid will be;

35% * 2.25

= 0.35 * 2.25

= $0.7875

Target price = Original price + additional cost

Target price = $2.25 + $0.7875

Target price = $3.0375

4 0
2 years ago
Work out the size of angle x
marin [14]

Answer:

129°

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You walk 2 miles in 1/2 an hour at that rate how long will it take to walk 3 miles?
In-s [12.5K]

Answer:45 minutes


Step-by-step explanation:since you walk 4 miles an hour in half of one you walk 2


6 0
3 years ago
Solve this system of equations algebraically:
Rom4ik [11]

Answer:

the answer is 5,90

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Write a cosine function for the graph?
    6·1 answer
  • X + 2y = –6<br> 3x + 8y = –20
    7·1 answer
  • I need help with this
    14·2 answers
  • A computer company wants to start a call center. They designed a simulation using a random number generator to predict the frequ
    6·2 answers
  • What is the equation of the line passing through the points (1,-5) and (9,11)​
    13·1 answer
  • Alan is printing photographs for an exhibition. He prints 11 photographs, and the total printing cost is $47.81. After 2 days, h
    15·1 answer
  • what does the graph of f(x)=x^2 look like if it is negative make sure to include shape and direction?
    13·1 answer
  • How much time will it take for an amount of Rs900 to yield Rs81 as interest at 4.5% per annum of simple interest
    7·1 answer
  • While Akira was visiting her sister in Weston, she bought a toy rocket that was marked down 50% from an original price of $40. I
    15·1 answer
  • 4−(2x+4)=5 solve for x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!