Sunshine447
I really don't get this lesson question:
Which statement is true for the circle?
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/0800/0800_G8_Q29a.gif
Its center is at the ordered pair of 1 over 2, minus 1, and the radius is minus five over two units.
Its center is at the ordered pair of minus 1 over 2, 1, and the radius is five over two units.
Its center is at the ordered pair of 1 over 2, minus 1, and the radius is five over two units.
Its center is at the ordered pair of minus 1 over 2, 1, and the radius is minus five over two units.
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Sunshine447
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@amistre64
Sunshine447
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@jim_thompson5910
mathstudent55
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The link doesn't work
Sunshine447
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it works on mine
Sunshine447
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@AccessDenied
dread907
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This link works for you because it is on a course website and you have to be logged in to view it, do you know how to take a screenshot?
Sunshine447
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umm i think lemme try
dread907
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Okay if you need help, reply back with your computer OS(Operating System, Mac or Windows)
Sunshine447
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Here's the whole thing as pasted from the lesson
phi
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a radius is always positive
Sunshine447
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okay...?
phi
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that rules out 2 of your choices
Sunshine447
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so it's either B or C, but I still don't know which
phi
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the (x,y) pair at the center will make the (x-a)^2 and (y-b)^2 terms zero
does that make sense?
Sunshine447
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not really, no...
phi
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usually they say
(x-h)^2 + (y-k)^2 = r^2
and the center is at (h,k) with radius r
Sunshine447
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how do we get h and k?
phi
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so if you see (x- 1/2) that means the x value of the center is +1/2
Sunshine447
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okay
phi
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in this case you match your equation to the "generic" one
match
(x-h)^2 + (y-k)^2 = r^2
(x-1/2)^2 + (y + 1)^2 = 25/4
phi
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matching y-k to y+1 you have to rewrite y+1 as y - (-1)
now you see y - k matches y - (-1) and k is -1
phi
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or remember that you want the y value that makes (y+1)^2 zero. that would be y= -1
Sunshine447
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so the Y is -1?
Sunshine447
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then it's C? Right?
phi
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yes.
Sunshine447
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Thank you soooooo much! I'm going to go write you a testimonial! haha
phi
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thank you