help with 2 questions plz Find the center and radius of the sphere. x^2 + y^2 +

Question

help with 2 questions plz

Find the center and radius of the sphere. x^2 + y^2 + z^2 - 4x = 0 center (x, y, z) = (________) radius _______ This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any point Find the center and radius of the sphere. x^2 + y^2 + z^2 - 8x + 10y + 16 = 0 You can find the center and radius of a sphere from its equation in the standard form. (x - h)^2 + (y- k)^2 + (z - j)^2 = r^2 The given equation is not in standard form. We will need to rewrite it in standard form so that we can determine the values of h, k, j, and r. Rearrange the equation so that the x-terms are together, the x-terms are together, the z-terms are together, and the constant is on the right side of the equation. x^2 + y^2 + z^2 - 8x + 10y + 16 = 0 (x^2 - _________ x) + (y^2 + 10y) + (z^2) = ________

Explanation / Answer

x2+y2+z2-4x=0

x2-4x+4 +y2+z2=4

(x-2)2+(y-0)2+(z-0)2=22

therefore

Center=(2,0,0)

Radius=2

And that's the answer.

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