Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer:
(3,-4)
Step-by-step explanation:
There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

It is c.it is actually 1.548 but you round it so....