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
Phantasy [73]
3 years ago
13

Find the equation of the circle that has a diameter with endpoint located at (-5,-3) and (-11,-3).

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0
Check the picture below.

you can pretty much, without having to use the distance formula, see the diameter is 6 units long, thus the radius is half that or 3 then.

now, without having to use the midpoint formula, if we move from either endpoint inwards 3 units, we'll end up at the center, -5 -3, is just -8, so the center will be at -8, -3.

\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
center~~(\stackrel{-8}{{{ h}}},\stackrel{-3}{{{ k}}})\qquad \qquad 
radius=\stackrel{3}{{{ r}}}
\\\\\\\
[x-(-8)]^2+[y-(-3)]^2=3^2\implies (x+8)^2+(y+3)^2=9

You might be interested in
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
olasank [31]

Answer:  a_n=2(5)^{n-2}

<u>Step-by-step explanation:</u>

The explicit rule for a geometric sequence is: a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}

The information provided is: a₁ = \dfrac{2}{5}  and  r = 5

a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}

4 0
2 years ago
-13x=90-2y <br> -6x=48-2y
Kisachek [45]

While it's pretty obvious to most of us that


-13x=90-2y

-6x=48-2y


is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."


Subtract the 2nd equation from the first:


-13x=90-2y

+6x=-48+2y

-----------------------

-7x = 42. Then x = -42/7, or x = 6.


Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:


-6x=48-2y


Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.


The solution is (6, 42).

3 0
2 years ago
What is the length of the hypotenuse of a right triangle with legs of length 6 and 4 ?
liberstina [14]

Answer:

6²+4²=h²

36+16=h²

\sqrt{52}  = h \:  \:  \:  \:  \:  \\ hyphotenuse \: is \: 2 \sqrt{13  \:} \\ or \: 7.2111

6 0
3 years ago
What operation would I do to find the average of something?
Lady bird [3.3K]
Sum divided by count. Add up all the numbers and divide it by how many numbers it is.
5 0
3 years ago
Write the equation for the vertical line that contains point E(-7,7)
Levart [38]
Vertical line are represented by x = a number....that number being the x value in ur set of points

so ur equation is : x = -7
5 0
3 years ago
Other questions:
  • The probability that a radish seed will germinate is 0.7. a gardener plants seeds in batches of 11. find the standard deviation
    14·1 answer
  • Roshonda begins riding her bike home from school at 3:00p.M., traveling 12 miles per hour. James leaves school in a bus a quarte
    13·1 answer
  • Find the value of 10! / (10-2) !
    7·1 answer
  • Zeke and Jay run a 220 yard dash, and jay wins the race by 10 yds. If Jay runs the race and 30 seconds What is the rate of each
    11·1 answer
  • Can you make the area of your shape go up but the perimeter go down?
    11·2 answers
  • gift wrapping boxes in the shape of an oblique rectangular prism if e.g. equals 10 FD equals 15 inches CH equals 8 inches in a F
    15·2 answers
  • Which of the following statements is true concerning ABC below?
    12·1 answer
  • A runner is participating in the Boston Marathon. He has run 12 miles of the 26.2 mile course. What percent of the course has he
    6·2 answers
  • How to make 135by 210in lowest term​
    9·2 answers
  • A members only speaker series allows people to join for $17 and then pay $1 for every event attended. What is the maximum number
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!