Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.



On further simplification, we get



Now, the equation of the circle is

Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is


Therefore, the first option is correct, i.e.,
.
Answer:
m=7 z=-12
Step-by-step explanation:
expand brackets:
8m+24=5m+45
Change sides:
8m-5m=45-24
3m=21
<u>m=7</u>
<u />
<u>z-6</u> = <u>3</u>
2z 4
Coss multiply:
4z-24=6z
4z-6z=24
-2z=24
Divide both sides by -2:
z=-12
The answer to this would be x-(x+14)
Here's an explanation:
Let x represent the unknown number. The problem says that x has been decreased by the sum of x and 14. So, to put this in a form of an equation, it would be x-(x+14), since you have to do the addition first before you can subtract the two number since you don't know what x is. This equation is equal to -14 no matter what x is.
Answer:
-2m
Step-by-step explanation:
Since the numbers will go below 0 we have to make it in negative numbers