Answer:
5 1/20
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(x, y) = (10/3, -2)
x = 10/3
Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
Find the center, which is the midpoint of the two endpoints given.
(x1 +x2)/2 , (y1 +y2)/2
(4-2)/2 , (-3+5)/2
2/2 , 2/2
Midpoint = (1,1)
Find the radius, which is the distance from the center to an end point.
√(x2-x1)^2 +(y2-y1)^2
√(4-1)^2 + (-3-1)^2
√(3^2 + -4^2)
√9+16
√25
r = 5
The equation for a circle is written as (x-h)^2 + (y-k)^2 = r^2
h and k are the center points.
Replace the letters with their values to get:
(x-1)^2 + (y-1)^2 =25