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
Amiraneli [1.4K]
3 years ago
7

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

n of this circle is (x + )2 + (y + )2 = .
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is (x_1,y_1)=(-3, 2)

Equation of a circle with center (h,k) and radius 'r' is given as:

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

Here, (h,k)=(5,-4)

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

r^2=(h-x_1)^2+(k-y_1)^2

Using distance formula for the points (5, -4) and (-3, 2), we get

r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100

Now, rewriting it in the form asked in the question, we get

(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}

You might be interested in
there are 5 walnut trees currently in the park park workers will plant 8 more walnut trees today how many walnut trees will the
Salsk061 [2.6K]

Answer:13

Step-by-step explanation:

8 0
3 years ago
Solve for each equation<br> h divided by 4/9 for h = 5 1/3<br><br> A) 2 10/27<br> B) 10<br> C) 12
arsen [322]
<span>Solve for each equation
h divided by 4/9 for h = 5 1/3

   h                16/3
-------  = -----------------  
 4/9               4/9
= 16/3 * 9/4
= 12
answer is </span><span>C) 12</span>
6 0
3 years ago
HELP HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Arrange the functions in ascending order, starting with the function t
san4es73 [151]
If x is squared, that will be biggest by the end because it gets bigger the quickest. x^2 + 4 is always 4 greater than x^2, no matter what the value of x is.

5x+3 is always 3 greater than 5x also.

Besides that, you can rank them based on their slopes (5x < 7x < 8x, etc.)

So,
5x
5x + 3
7x
8x + 3
x^2
x^2 + 4

You can also just say “eventually” means that they’re asking to find the values of each when x is really big. so just choose x=100, and plug that into each one.

So, to check that order:
5(100) = 500
5(100) + 3 = 503
7(100) = 700
8(100) + 3 = 803
(100)^2 = 10,000
(100)^2 + 4 = 10,004

Those are in ascending order, so that must be the right order!
6 0
3 years ago
Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, ...
skelet666 [1.2K]
Try a_n=7(-1)^{n+1}, where n\ge1.
6 0
3 years ago
(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun
love history [14]

Answer:

a) f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

b) P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

c) P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

d) P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

X \sim Unif (a=4, b =11)

Part a

The probability density function is given by the following expression:

f(x) = \frac{1}{b-a} , a \leq x \leq b

f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11

Part b

We want this probability:

P(X \leq 7)

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}

And replacing we got:

P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286

Part c

We want this probability:

P(5 < X \leq 7)

And we can use the CDF again and we have:

P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857

Part d

We want this conditional probabilty:

P(X >5 | X \leq 7)

And we can find this probability with this formula from the Bayes theorem:

P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5

7 0
3 years ago
Other questions:
  • Am I correct in thinking that the answer to this derivative problem is B?
    5·1 answer
  • A right triangle has side lengths d, e, and f as shown below.
    14·1 answer
  • a fence company is building a square fence. each side of the square is 1.12 kilometers long.what is the length,in meters of the
    8·1 answer
  • You have been advised to save 5% of your income for an emergency fund. How much would you have saved in one year, following the
    5·1 answer
  • A paddle wheel on a boat is 4 feet in diameter. The fins along the outer edge travel at a speed of 1.3 feet per second. How long
    7·1 answer
  • What is 20% reduced as a fraction ??
    8·1 answer
  • The town of Madison has a population of 25000. the population is increasing by a factor of 1.12 each year.
    15·2 answers
  • Find the perimeter of the figures shown below.
    10·1 answer
  • Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters​
    11·1 answer
  • A music store marks up the instruments it sells by 40%. If the store bought a guitar for $35, what will be its store price? If t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!