A circle is centered at the origin and contains the point (-6, 0.) Use complete sentences and proper grammar to give a justification as to whether or not the point (4, 4.5) lies on the circle. Show any calculations used.
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OpenStudy (anonymous):
@DaBest21
OpenStudy (anonymous):
well we know it is 6 units away from the origin in every direction so |dw:1437577938419:dw| kinda like this
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
\[\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}\] that is the distance formula so plug in 0,0 and 4,4.5
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
ill do it too
OpenStudy (anonymous):
what did u get
OpenStudy (anonymous):
17.5
OpenStudy (anonymous):
r u sure
OpenStudy (anonymous):
x2=4 and x1=0 y2=4.5 y1=0
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OpenStudy (anonymous):
@Aliypop plug those in
OpenStudy (anonymous):
10.55
OpenStudy (anonymous):
I mean 10.5
OpenStudy (anonymous):
its actually 6.02
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
which is greater than 6
OpenStudy (anonymous):
so no then u just show the work from the equation
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
so is it a circle or no?
OpenStudy (anonymous):
it is not in the circle unless it says to round
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OpenStudy (anonymous):
okay
OpenStudy (anonymous):
Don't forget to medal and fan if you already haven't. Plus send me a message if you need more help @Aliypop