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
kap26 [50]
3 years ago
5

What is the equation of the circle with center (11, 6) that passes through the point (17, 12)?

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

well, the distance from the center of a circle to any point "on" the circle is simply just its radius, thus

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{center}{(\stackrel{x_1}{11}~,~\stackrel{y_1}{6})}\qquad (\stackrel{x_2}{17}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(17-11)^2+(12-6)^2}\implies r = \sqrt{36+36}\implies r=\sqrt{72} \\\\[-0.35em] ~\dotfill

\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{11}{ h},\stackrel{6}{ k})\qquad \qquad radius=\stackrel{\sqrt{72}}{ r} \\\\\\ (x-11)^2+(y-6)^2=(\sqrt{72})^2\implies (x-11)^2+(y-6)^2=72

You might be interested in
What z-score value separates the top 10% of a normal distribution from the bottom 90%?​?
nata0808 [166]
The 90th percentile corresponds to Z ≈ 1.28155.

7 0
3 years ago
HELP Solve for x and y
BabaBlast [244]

Answer:

x = 96

y = 66

Step-by-step explanation:

The sum of interior angles of the given shape is 360:

x + y + 123 + 75 = 360

x + y + 198 = 360 subtract 198 from both sides

x + y = 162

The angle with the measure 114 and angle y are supplementary so their sum is 180

y + 114 = 180

y = 66 since x + y = 162 we can use this to find the value of x

x = 162 - 66

x = 96

5 0
2 years ago
The population of a Bee Colony being monitored is given by P(t)=1000+500e−0.8t, where t is the time in months. How many months w
weeeeeb [17]

Answer:

me sandip is a jokeerrrr..........

Step-by-step explanation:

no god sucks......... **** brainly

4 0
3 years ago
I need help with all three questions please. I am just Stuck.
vitfil [10]

Answer:

p_{o} = 6, r = 2, p_{12} = 24576.

Step-by-step explanation:

The value of p_{o} is the first value of the geometric series, that is, p_{o} = 6.

If the series represents a geometric sequence, then r must be constant for every consecutive pair of elements, that is:

r_{1} = \frac{p_{1}}{p_{o}} = \frac{12}{6} = 2

r_{2} = \frac{p_{2}}{p_{1}} = \frac{24}{12} = 2

r_{3} = \frac{p_{3}}{p_{2}} = \frac{48}{24} = 2

Since r_{1} = r_{2} = r_{3} = 2, r = 2.

The geometric sequence can be represented by the following formula:

p_{n} = p_{o}\cdot r^{n}, for n \in \mathbb{N}

The 12th element of the geometric sequence is: (p_{o} = 6, r = 2, n = 12)

p_{12} = 6\cdot 2^{12}

p_{12} = 24576

5 0
3 years ago
F(x) = –22 – 4x – 19<br> Find f(-9)
Dennis_Churaev [7]

Answer:

F(-9) = -5

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • If m&lt;8=43. Find the measurement of its complement
    8·1 answer
  • Sarah made 12 more free throws than Connie. How many free throws did Connie make if Sarah made 72?
    8·2 answers
  • Help me please!! I’m in a hurry!! 15pts!!
    15·1 answer
  • The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s
    11·1 answer
  • What is the area of the triangle below?
    5·2 answers
  • Maria and Alex are opening a savings accounts. Maris deposits $50, she plans to add $10 each week. Alex deposits $30, he plans t
    15·1 answer
  • This model represents 9,015 ÷ 4.<br><br><br><br> What is the solution to 9,015 ÷ 4?
    7·1 answer
  • What is the reciprocal of 4, 5/2, and 1/2​
    8·2 answers
  • What is (x + 7) + 3y
    14·1 answer
  • Which words can be used as subjective pronouns? (1 point) O her, us Omine, yours O they, you O his, them​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!