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

Mathematics

1 answer:

Leni [432]3 years ago

8 0

Answer:

Step-by-step explanation:

The general equation for a circle of radius r with center at (h, k) is

(x - h)² + (y - k)² = r²

Here, this equation becomes:

(x - 1)² + (y - 2)² = 3²

You might be interested in

Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by

Temka [501]

Lan is 146 centimeters tall now.

Explanation

Let, Lan's current height is $h$ centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = $(h+6)$ centimeters and Jim's current height = $(h-10)$ centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = $h+(2*5)=(h+10)$ centimeters,

Lisa's height = $(h+6)+(2*5)= (h+16)$ centimeters and

Jim's height = $(h-10)+(2*5)= h$ centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

$(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146$

So, the current height of Lan is 146 centimeters.

7 0

3 years ago

You found the prime factorization of the number 73 explain how you can check your answer

antoniya [11.8K]

9514 1404 393

Explanation:

You can check your answer by making sure that each of the primes you found is actually a prime. (Compare to a list of known primes, for example.) After you have determined your factors are primes, multiply them together to see if the result is 73. If so, you have found the correct prime factorization.

Additional comment

73 is prime, so its prime factor is 73.

73 = 73