Answer:
(a) (x-2)^2 +(y-2)^2 = 16
(b) r = 2
Step-by-step explanation:
(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.
Circle centered at (h, k) with radius r:
(x -h)^2 +(y -k)^2 = r^2
The given circle is ...
(x -2)^2 +(y -2)^2 = 16
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(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:
r = 2
Multiply by the conjugate and simplify
3/17 - 5i/17
Hope this helps! :)
Answer:
-2
Step-by-step explanation:
Hope it helps
Answer:
Volume =
cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x = 
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume = 
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume = 