3 years ago

What is the remainder of x3 + 3x2 − 10x + k divided by (x + 4)?

Mathematics

1 answer:

Sonbull [250]3 years ago

8 0

Answer:

k+24

Step-by-step explanation:

that is the answer of x3 + 3x2 − 10x + k divided by (x + 4)?

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Find an equation of the sphere that passes through the point (7, 1, −3) and has center (5, 6, 5).

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Answer:

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is $(x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93$ .

Step-by-step explanation:

Any sphere centered at $(h,k,s)$ in an Euclidean space with a radius $r$ is represented by the following formula:

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

If $(x,y,z) = (7,1,-3)$ and $(h,k, s) = (5,6,5)$ , the radius of the sphere is obtained:

$(7-5)^{2}+(1-6)^{2}+(-3-5)^{2} = r^{2}$

$r^{2} = 93$

$r = \sqrt{93}$

The equation of the sphere that passes through the point (7,1,-3) and center at (5, 6, 5) is $(x-5)^{2}+(y-6)^{2}+(z-5)^{2} = 93$ .

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I'm not sure if that's what you wanted, sorry.

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