The general equation of the circle is:
(h,k) is the center of the circle and r is the radius. We are given the coordinates of the center. So we can write the equation of the circle as:
In order to complete the equation, we need the radius of the circle. Using the given point we can find the radius. Using the point in the above equation, we get:
Thus the value of r² is 125. Using the value in equation of the circle, we get:
The radius of the circle is √125.
Answer:
y = -x +2
Step-by-step explanation:
First let's find the slope.
(-1,3) and (4,-2)
3 - -2/ -1 - 4 = 5/-5 = -1
Slope = -1
Now let's use slope intercept form:
y1-y2=m(x1-x2)
Let's plug in our slope for m.
y1-y2= -1 (x1-x2)
And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)
y1+2 = -1(x1- 4)
y= -x + 4 -2
y = -x +2
Answer:
A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)
A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)
A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)
An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:
1. Label the vertex (∠A)
2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)
3. Label the angle with a number or letter (∠1, ∠A)
4x + 7y = 60
-4x + 7y = -4
------------------add
14y = 56
y = 56/14
y = 4
4x + 7y = 60
4x + 7(4) = 60
4x + 28 = 60
4x = 60 - 28
4x = 32
x = 32/4
x = 8
so ur solution is : (8,4)
