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Mathematics 14 Online
OpenStudy (anonymous):

Could someone help me out with this one...? Ryan’s teacher asked him to graph circle E with equation (x – 5)2 + y2 = 25. Below is the graph he submitted. What, if anything, did Ryan do wrong when graphing this equation? He graphed a circle with a radius of 25 instead of a radius of 5. He graphed a circle with center at (5, 0) instead of at (-5, 0). He graphed a circle with center at (5, 0) instead of at (25, 0). Ryan’s graph is accurate.

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

what is the radius of (x – 5)^2 + y^2 = 25.

OpenStudy (anonymous):

the radius is 5

OpenStudy (anonymous):

i think that ryan's graph is accurate

jimthompson5910 (jim_thompson5910):

the circle that Ryan drew has a radius of ____

OpenStudy (anonymous):

because the radius is right and the center is right

jimthompson5910 (jim_thompson5910):

the circle Ryan drew does NOT have a radius of 5

OpenStudy (johnweldon1993):

I think you're getting center and radius confused

OpenStudy (anonymous):

oh... lol whoops :DD

jimthompson5910 (jim_thompson5910):

notice the distance from the center (5,0) to the point (30,0), which is a point on the circle, is 25 units so the radius of Ryan's circle is 25

OpenStudy (johnweldon1993):

center..yes is 5...radius is the diameter / 2

OpenStudy (anonymous):

alright. so it the answer would be the third one, "He graphed a circle with center at (5, 0) instead of at (25, 0)."

jimthompson5910 (jim_thompson5910):

no, the center is correct

jimthompson5910 (jim_thompson5910):

the radius is NOT

OpenStudy (johnweldon1993):

center is correct....just the radius isnt

jimthompson5910 (jim_thompson5910):

that circle is supposed to be much smaller

OpenStudy (johnweldon1993):

remember in the equation...r is squared....the radius shouldn't be 25...it should be 5

OpenStudy (anonymous):

ok!! so just go with the answer mentioning the radius being wrong, "He graphed a circle with a radius of 25 instead of a radius of 5."

jimthompson5910 (jim_thompson5910):

exactly

OpenStudy (johnweldon1993):

sounds right

OpenStudy (anonymous):

You guys were sooo helpful! :) Thank you soooo much!! :DD

OpenStudy (johnweldon1993):

Anytime :)

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