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Naddika [18.5K]
3 years ago
12

Write the equation of a circle in standard form with center ( -2,4) and radius 6. Show your work.

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

( x + 2 )² + ( y - 4 )² = 36

Step-by-step explanation:

Standard equation of a circle - ( x - h )² + ( y - k )² = r²

where r = radius and center is at ( h , k )

The given center is ( -2 , 4 )

Thus h = -2 and k = 4

and the given radius is 6

Thus, r = 6

that being said, we plug in the given values into the standard equation

( x - ( - 2 )² + ( y - 4 )² = 6²

Finally we simplify

In - ( -2 ) the two negative signs cancel out and it turns into + 2

6² = 36

The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36

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A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket. Find the theoreti
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Answer:

A)1/4, 1/2 ,1/4

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Step-by-step explanation:

THESE IS THE COMPLETE QUESTION:

A bucket contains one green block, one red block, and two yellow blocks. You choose one block from the bucket.

A)Find the theoretical probability that you will choose each color.

B)Find the sum of probability in(a)

C)What is the probability that you will not choose a red block?

D)Find the sum of the probabilities of choosing a red block and probability of not choosing a red block

EXPLANATIONS:

Sample of blocks: green,red, yellow, yellow

Total sample =4

Green sample = 1

Red sample 1

Yellow sample = 2

A)To find the theoretical probability that you will choose green.

i) P( choosing a green block)= green sample/Total sample

=1/4

To find the theoretical probability that you will choose red

ii)P(choosing a red block) = Red sample block/Total sample of blocks

= 1/2

To find the theoretical probability that you will choose yellow

iii) P(choosing a yellow block) = 1/4

B)The sum of probability in( a)

=P( choosing a green block) + P( choosing a Red block) +P( choosing a yellow block)

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D)P(Sum of choosing a red block and not choosing a a red block)

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Answer:

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Step-by-step explanation:

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