Question

Algebra 2 question help, i'm writing it below

Answer 1

Ok so there's 3 choices of circles given, and we're supposed to find the one that only intersects the x-axis. I know which one it is. It's (x-9)^2+(y-3)^2=25, how would i justify my answer though? I used geogebra 2 find if the circle was only on the x-axis :)

Answer 2

@satellite73 @Mertsj @bahrom7893

Answer 3

ok so when you have (x-a)^2 in the circle equation that means that the circle is shifted a times in the positive direction , if you have (x+a)^2 means it is shifted a times in the negative direction.
the 25 you can rewrite as 5^2 , when you rewrite it like that the 5 is the radius of the circle , so if we had 9 to the right (where is the center) minus the 5 from the radius it is 4 so it cant reach the y axis

Answer 4

oh ok i get it :P so if it was equalled to 49, 7 would be the radius and oh ok Thx a ton that just made a lot more sense lol :D

Answer 5

ur welcome :)

Answer 6

Well with your equation of your circle, you know it has centre (9,3) and radius=5