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blsea [12.9K]
3 years ago
14

4. A circle is centered at (−8, −13) and has a radius of 13. What is the equation of the circle? * (x + 8)² + (y + 13)² = 169 (x

+ 13)² + (y + 8)² = 169 (x - 8)² + (y - 13)² = 64 (x - 8)² + (y - 13)² = 169
Mathematics
1 answer:
sattari [20]3 years ago
7 0

Answer:

(x + 8)^2 + (y + 13)^2 = 13^2

Step-by-step explanation:

Write out (x - h)^2 + (y - k)^2 = r^2.  Recognizing that the center is at

(h, k), with h = -8 and k = -13, and that the radius is 13, we get:

(x + 8)^2 + (y + 13)^2 = 13^2

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Maths assignment <br> y^2-36
Vsevolod [243]

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

3 0
3 years ago
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It c
aksik [14]

Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.

The <em>expected value</em> is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

In this problem:

  • The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is \frac{1}{6} \times \frac{1}{12} = \frac{1}{72}.
  • The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is \frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}
  • In the other cases, Ayo wins £1.40, with 1 - \frac{18}{72} = \frac{54}{72} probability.

Hence, his expected profit for a single game is:

E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583

For 216 games, the expected value is:

E = 216(0.2583) = 55.8

Ayo can be expected to make a profit of £55.8.

To learn more about expected value, you can take a look at brainly.com/question/24855677

6 0
3 years ago
Find the value of angle "A" and angle "B".​
Daniel [21]

the anwser is 119

because 180-61 =119

3 0
3 years ago
Read 2 more answers
Will give brainliest <br> What is the measure of angle P in the figure shown here?
DaniilM [7]

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

6 0
3 years ago
The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions o
Sati [7]

Answer: width = 21, length = 47

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

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w    <em>substituted the given values above</em>

136 = 4w + 10 + 2w       <em>distributed 2 on the right side</em>

136 = 6w + 10                <em>added like terms (4w and 2w)</em>

126 = 6w                       <em>subtracted 10 from both sides</em>

 21 = w                          <em>divided both sides by 6</em>

Length (L) = 2w + 5

                 = 2(21) + 5

                 = 42 + 5

                  = 47

7 0
3 years ago
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