Answer:
(i) Center = (-1, -2)
(ii) Radius = 5 units
General Circle Equation:
<u>Where</u>:
<u>Rewriting the equation</u>:
<u>Identify the following</u>:
<u>Completing the square: Circles</u>
Add the square of half the coefficients of both first degree terms (x and y) to both sides:
Factor the two trinomials on the left side of the equation:
Equation of a circle:
(where (a, b) is the center and r is the radius)
Comparing constants:
Therefore:
Conclusion:
3/7*5/6
cross out 3 and 6
divide by 3
3/3= 1
6/3= 2
1/7*5/2
mutiply the denominators together
7*2= 14
mutiply the numerators together
1*5= 5
5/14
Step-by-step explanation:
(4 + 12)/4 = 16/4 = 4
(-2 + 10)/2= 8/4 = 2
(4, 2) is 1/4 of the way from A to B