Answer:
The equation of circle A with radius AC is
, or in other words option d.
Step-by-step explanation:
If the radius of this circle is AC, then we can determine the distance between points A ( - 1, 4 ) and C ( - 5,1 ) to come to the length of the radius -
Distance between A and C = ![\sqrt{(-5-(-1))^2+(1-4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-5-%28-1%29%29%5E2%2B%281-4%29%5E2%7D)
= ![\sqrt{(-4)^2+(-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-4%29%5E2%2B%28-3%29%5E2%7D)
=
=
= 5 units - Which is also the length of the radius of the circle.
So if the radius is given to be 5 in length, knowing that the general equation for a circle is
( where ( h, k ) is the center and r is the radius ) if the radius is 5,
, and solution must be option b / option d.
Now if the radius is AC, the center point must be point A ( circle A ). Therefore point ( - 1, 4 ) is the center, and the equation of the circle must be the following -
![( x - ( - 1 ))^2 + ( y - 4 )^2 = 25](https://tex.z-dn.net/?f=%28%20x%20-%20%28%20-%201%20%20%29%29%5E2%20%2B%20%28%20y%20-%204%20%29%5E2%20%3D%2025)
=
- and hence our solution is option d
Answer:
x= - 30
Step-by-step explanation:
x-9=0.7x+0.6
x-9=1.3x
x-9-1.3x=0
x-1.3x=9
x(1-1.3)=9
-0.3x=9
x= - 9/0.3
x= - 30
Answer:
9.31
Step-by-step explanation:
The square root of 39 = 6.2445
Comparing to the 6.51326, it has a difference of 0.268262. Therefore, 6.51326 is greater than square root of 39.