Answer:
(x - 1)² + (y + 1/2)² = 65/4
Step-by-step explanation:
Given: the endpoints of the diameter are (3, 3) and (-1, -4). a( To determine the center of this circle, find the midpoint of the line segment connecting these two points:
3 - 1
x = -----------
2
and
-1
y = ----------
2
The center is at x = 1 and y = -1/2: (1, -1/2).
b) The radius is half the diameter. The diameter is the distance between the two endpoints given, that is, the distance between (-1, -4) and (3, 3):
diameter = √(4² + 7²) = √(16 + 49) = √65; therefore,
radius = (1/2)√65.
square of the radius = r² = 65/4
The general equation of a circle with center at (h, k) and radius r is
(x - h)² + (y - k)² = r². In this case, the equation is:
(x - 1)² + (y + 1/2)² = 65/4
Given:
Multiply both sides by 3/2, we get
Cancel out the common multiples, we get
The solution of the given equation is
or
The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A unit rate is a ratio between two different units with a denominator of one.
If For every 1 student out of school, there are 10 students going to school, hence:
Unit rate = 10/1 = 10 students going to school per 1 student out of school
The unit rate for every 1 student out of school, there are 10 students going to school is 10 students going to school per 1 student out of school
Find out more on equation at: brainly.com/question/2972832
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