Answer:
(x − 3)² + (y − 4)² = 5
Step-by-step explanation:
The equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
First use the distance formula to find the radius:
d² = (x₂ − x₁)² + (y₂ − y₁)²
r² = (2 − 3)² + (6 − 4)²
r² = 1 + 4
r² = 5
Given that (h, k) = (3, 4):
(x − 3)² + (y − 4)² = 5
You have 1/4 divided by 2 which is the same as 1/4 divided by 2/1. First, find the reciprocal of 2/1 which is 1/2. You now have the problem 1/4 x 1/2. Multiple across.
Answer:
(14a + 3, 21a + 4) = 1
Step-by-step explanation:
Step-by-step explanation:
To prove that the greatest common divisor of two numbers is 1, we use the Euclidean algorithm.
1. In this case, and applying the algorithm we would have:
(14a + 3, 21a + 4) = (14a + 3, 7a + 1) = (1, 7a + 1) = 1
2. Other way of proving this statement would be that we will need to find two integers x and y such that 1 = (14a + 3) x + (21a + 4) y
Let's make x = 3 and y = -2
Therefore, (14a + 3, 21a + 4) = 1