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 signals.

Question

osuxbucks15 · Answer

@radar can u help me please?

radar · Answer

You are looking at a circular coverage with a range of 6 units and a location at point
P(-6,-4)  See the formula for a circle whose center is located away from the origin.

osuxbucks15 · Answer

(x + 6)2 + (y + 4)2 = 36 this one?

radar · Answer

Yes, that is a circle whose radius is sq rt of 36.  and center at (-6,-4)

radar · Answer

See "Formula for circle"

radar · Answer

That is the formula for area of circle.  The formula for a circle whose center is located at the origin is:$$x ^{2} + y ^{2}= r ^{2}$$

osuxbucks15 · Answer

o ok

radar · Answer

For circles whose center is offset from the origin, the formula is slightly different, that is why I want you to look it up.

osuxbucks15 · Answer

o ok so i should look up "Formula for circle" on google

osuxbucks15 · Answer

(x-h)2 + (y-k)2 = r2 what about this

radar · Answer

To save your valuable time, the formula for a circles whose center is offset from the origin is:$$(x-h)^{2}+(y-k)^{2}=r ^{2}$$

osuxbucks15 · Answer

ok so which numbers do i plug in for x,y and k

radar · Answer

That is what I was typing as you posted, which proves that you can type faster than I lol

osuxbucks15 · Answer

no I'm an alright typer i copied and pasted that!

osuxbucks15 · Answer

ok now back to the question

radar · Answer

Look at your formula (x+6)^2 + (y+4)^2=36
the answer to your last question resides in that formula.
what is the -h?
what is the -k?
what is r^2?

osuxbucks15 · Answer

ok h is 6 4 is k and r=36

radar · Answer

-h = 6  What does h =?

radar · Answer

You are rushing. r^2 = 36, what is r?

osuxbucks15 · Answer

h=-6? and 18=r

radar · Answer

$$r ^{2}=36$$ What is r?

osuxbucks15 · Answer

wouldn't it be 36/2 to get r

radar · Answer

and don't forget to solve for k when -k=4

osuxbucks15 · Answer

k=-4

radar · Answer

r SQUARED =36      /does 18 squared = 36???    think about it.

osuxbucks15 · Answer

r=6

radar · Answer

Yes, do you understand the radio coverage?

osuxbucks15 · Answer

is that like the squared thing that we just did

osuxbucks15 · Answer

because if it is not that then i don't no it

radar · Answer

|dw:1343751228199:dw| It is a circular coverage with a radius of 6 (as we don't know if it is miles or km or what, the problem did not say so we can only say 6 units.  Whose center is located at P(-6,-4) again we don't know the distance units.