Michelle lives one block south of the bank at what point is her house located

Mathematics

2 answers:

leonid [27]3 years ago

5 0

It is one block south of the bank?

kakasveta [241]3 years ago

5 0

There's not enough information given to answer the question, because we don't know where the bank is located. All we know is exactly what we're told: Her house is located one block south of the bank, wherever THAT may be.

Perhaps a picture would help us answer this question. To be honest, I kind of suspect that there IS a picture that goes along with it, but for some reason you decided not to share the picture with us.

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Find the radius of the circle with equation x²+y²+8x+8y+28=0

galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$