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
Bad White [126]
2 years ago
9

Prove or disprove that the point (√5, 12) is on the circle centered at the origin and containing the point (-13, 0). Show your w

ork.
Mathematics
1 answer:
pav-90 [236]2 years ago
6 0

Using the equation of the circle, it is found that since it reaches an identity, the point (√5, 12) is on the circle.

<h3>What is the equation of a circle?</h3>

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this problem, the circle is centered at the origin, hence (x_0, y_0) = (0,0).

The circle contains the point (-13,0), hence the radius is found as follows:

x^2 + y^2 = r^2

(-13)^2 + 0^2 = t^2

r^2 = 169

Hence the equation is:

x^2 + y^2 = 169

Then, we test if point (√5, 12) is on the circle:

x^2 + y^2 = 169

(\sqrt{5})^2 + 12^2 = 169

25 + 144 = 169

Which is an identity, hence point (√5, 12) is on the circle.

More can be learned about the equation of a circle at brainly.com/question/24307696

#SPJ1

You might be interested in
PLEASE HELP ILL GIVE BRAINLIEEST<br> SHOW WORK
Genrish500 [490]

You know that it's a bot when it says "explanation in file".

They forgot to put a question, there's nothing to answer...

8 0
2 years ago
In a string of 12 Christmas tree light bulbs, 3 are defective. The bulbs are selected at random and tested, one at a time, until
Juliette [100K]

Using the hypergeometric distribution, it is found that there is a 0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

In this problem, the bulbs are chosen without replacement, hence the <em>hypergeometric distribution</em> is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There are 12 bulbs, hence N = 12.
  • 3 are defective, hence k = 3.

The third defective bulb is the fifth bulb if:

  • Two of the first 4 bulbs are defective, which is P(X = 2) when n = 4.
  • The fifth is defective, with probability of 1/8, as of the eight remaining bulbs, one will be defective.

Hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,12,4,3) = \frac{C_{3,2}C_{9,1}}{C_{12,4}} = 0.2182

0.2182 x 1/8 = 0.0273.

0.0273 = 2.73% probability that the third defective bulb is the fifth bulb tested.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

8 0
2 years ago
It snowed 3.4 inches on Monday and 2.92 inches on Tuesday. How much did it snow on Monday
nikklg [1K]

Answer:

6.32 in.

Step-by-step explanation:

2.92 + 3.4 = 6.32

3 0
3 years ago
Read 2 more answers
Solve.<br> 3(5z + 7) = 33
Ivenika [448]

Answer:

z = 4/5

Step-by-step explanation:

3(5z + 7) = 33

Divide each side by 3

3/3(5z + 7) = 33/3

5z+7 = 11

Subtract 7 from each side

5z+7-7 = 11-7

5z = 4

Divide by 5

5z/5 = 4/5

z = 4/5

3 0
3 years ago
Read 2 more answers
Please help thxxx i will give brainly
solniwko [45]

The answer will be option 2. 10^4.

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the product? Five-twelfths times one-third
    13·2 answers
  • What is the slope of a line that is perpendicular to the line y = 8x + 5?−8 -1/8 1/8 8
    13·2 answers
  • Trey evaluated 12/15 + 1/10 and got the answer of 13/25. which statement is true about this answer?
    10·1 answer
  • Find all zeros for (2x-1)(x-5)
    7·1 answer
  • Integrate Sec (4x - 1) Tan (4x - 1) Dx ​
    11·1 answer
  • Andrea bought 8 pizzas her friends ate 4 3/4 what fraction of the pizzas are left?
    5·1 answer
  • Please solve kx-2=7 for x
    7·1 answer
  • {12,16,5,2} the number of subsets
    10·1 answer
  • 0/0=? *please answer*
    12·1 answer
  • Function or not a function? Linear or nonlinear? y= 5x + 3–2x​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!