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Mathematics 26 Online
OpenStudy (anonymous):

PLEASE HELP ME !! :( The equation ( x + 6)^2 + (y + 4 ) ^2 = 36 models the position and range of the source of a radio signal. Describe the position of the source and the range of the signal

OpenStudy (whpalmer4):

Do you know what sort of geometric figure is described by that equation?

OpenStudy (anonymous):

@whpalmer4 im assuming its on a graph chart

OpenStudy (whpalmer4):

okay, but is it a square, a triangle, a circle, pentagon, hyperbola, ???

OpenStudy (anonymous):

its explaining the circumference of the radio signal in reference to a chart

OpenStudy (anonymous):

circle

OpenStudy (whpalmer4):

bingo! do you know the general form of the equation for a circle?

OpenStudy (anonymous):

uhm no im not sure?

OpenStudy (anonymous):

I don't think I know

OpenStudy (whpalmer4):

okay, do you want to see how to figure it out?

OpenStudy (whpalmer4):

A circle is just the set of points equidistant from the center point, right?

OpenStudy (anonymous):

yes pleaseeee

OpenStudy (anonymous):

right??

OpenStudy (whpalmer4):

let's take the simplest case. That's a circle with the center at the origin (0,0), and radius of 1.

OpenStudy (whpalmer4):

|dw:1389060323334:dw| Now, the distance from the center to any of the points where the circle crosses the x or y axis is 1, right?

OpenStudy (whpalmer4):

0,0 to 0,1 = 1 0,0 to 1,0 = 1 0,0 to 0,-1 = 1 0,0 to -1,0 = 1

OpenStudy (anonymous):

ok yes

OpenStudy (whpalmer4):

|dw:1389060440215:dw|

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