Answer:
Step-by-step explanation:
The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!
<u>Center of the circle:</u>
- The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).
Using the midpoint formula we'll get:
This is the center coordinate of our circle.
<u>Radius: </u>
The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)
We can use the distance formula:
<u>Equation of the circle: </u>
The equation is written as:
here, (a,b) are the center points of the circle
in our case this is 
and r = 1
This is the equation of the circle!
Answer:
a
Step-by-step explanation:
i just took the test
Answer:
In bold.
Step-by-step explanation:
6/6 = 9/a
So a = 9.
6/c = a/4.5
6/c = 9/4.5 = 2
So c = 3.
By similar triangles:
d/5 = 6/ (6+6+3)
d/5 = 6/15 = 2/5
So d = 2.
Also by similar triangles
b/5 = 12/15 = 4/5
So b = 4.
To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3) (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1 -6-(-3) -9
-------- = -------- = ----
x2-x1 9-(-5) 14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14
Answer:
The answer is 10
I hope this helped and please mark me as brainliest!
