Cirlce B is given the equation, (x-2)^2 + (y-9)^2 = 25. What are the coordinates of the center and the length of the radius?
1 answer:
Answer:
The answer to your question is Center = (2, 9) Radius = 5 units
Step-by-step explanation:
Data
(x - 2)² + (y - 9)² = 25
Process
1.- Determine the coordinates of the circle.
The coordinates are the numbers after the x and y just change the signs.
h = 2 and k = 9
Then the coordinates are (2, 9)
2.- The length of the radius is the square root of the number after the equal sign.
radius =
radius = 5 units
You might be interested in
The distance between two points can be calculated using the following formula:
distance = sqrt [ (x2-x1)^2 + (y2-y1)^2]
Now, we are given the two points (5,4) and (1,-2)
Substitute with the given points in the above equation to get the distance as follows:
distance = sqrt [(1-5)^2 + (-2-4)^2]
distance = sqrt [16+36] = sqrt[52]
distance = 2√13 = 7.2111 units
distance = sqrt [ (x2-x1)^2 + (y2-y1)^2]
Now, we are given the two points (5,4) and (1,-2)
Substitute with the given points in the above equation to get the distance as follows:
distance = sqrt [(1-5)^2 + (-2-4)^2]
distance = sqrt [16+36] = sqrt[52]
distance = 2√13 = 7.2111 units
Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
1440 different arrangements are possible.