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2 years ago

The circle below is centered at (3, 1) and has a radius of 2. What is its equation?

Mathematics

1 answer:

MissTica2 years ago

5 0

Answer:

( x-3) ^2 + ( y-1) ^2 = 4

Step-by-step explanation:

The equation for a circle is given by

( x-h)^2 + ( y-k) ^2 = r^2 where (h,k) is the center and r is the radius

( x-3) ^2 + ( y-1) ^2 = 2^2

( x-3) ^2 + ( y-1) ^2 = 4

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Pls help (ZOOM IN TO SEE FULL PIC)

Margarita [4]

Answer: 15

Step-by-step explanation:

Lets name the missing point as "x"

8^2 + x^2 = 17^2

=> 64 + x^2 = 289

=> x^2 = 289 - 64

=> x^2 = 225

=> x = 15

4 0

3 years ago

What is the probability that a group of five friends all have different birthdays? Show all of your work for full credit.

patriot [66]

Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

8 0

3 years ago

5. What is the slope of the line that passes through (-2, 4) and (7, 1)?

just olya [345]

Answer:

Slope: $-\frac{1}{3}$

Step-by-step explanation:

Step 1: Use slope formula to find the slope

$m = \frac{y2 - y1}{x2- x1}=\frac{4-1}{-2-7}=\frac{3}{-9} =-\frac{1}{3}$

Therefore the slope of a line that passes through (-2, 4) and (7, 1) is $-\frac{1}{3}$

4 0

3 years ago

Find the numerator for the equivalent fraction. 1/4 = x/20

Rama09 [41]

Answer:

The numerator is 5.

Step-by-step explanation:

You would multiply the numerator by 5 as the denominator multiplies by 5.

8 0

3 years ago

Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her

Ivenika [448]

Answer:

7/30

Step-by-step explanation:

5/6 = 25/30 3/5 = 18/30

25/30 - 18/30 = 7/30

Sas gives 7/30 of the ribbon to her sister.

Hope this helps! :3

5 0

3 years ago