The general equation of the circle is expressed as (x-h)2 + (y-k)2 = r2 where (h,k) is the center of the circle. we are are given the center of the circle at (0,0) so the expression is simplified to <span>(x)2 + (y)2 = r2. given the other point, r2 is equal to 41. hence the final equation is x2 + y2 = 41</span>
Answer:
5/6
Step-by-step explanation:
Find the lowest common denominator between the 10 and 12.
10 and 12 have the lowest common denominator of 2
10/2=5
12/2=6
So 5/6 is the lowest term of 10/12
Step-by-step explanation:
y = 5x - 2…Equation 1
3x - 5y = 4…Equation 2
Subtitute value of y to Equation 2 :
3x - 5(5x - 2) = 4
3x - 25x + 10 = 4
-22x + 10 = 4
10 - 4 = 22x
6 = 22x
6/22 = x
<u>3/11 = </u><u>x</u>
Subtitute value of x to one of Equation :
for example Equation 2…
3x - 5y = 4
3(3/11) - 5y = 4
9/11 - 5y = 4
9/11 - 4 = 5y
(9 - 44)/11 = 5y
(-35)/11 = 5y
(-35)/11 × 1/5 = y
<u>-7/11 = y</u>
