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Anit [1.1K]
3 years ago
6

NO ONE WILL HELP ME!!! PLEASE HELP!!! WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

Step-by-step explanation:

log \frac{4x^2}{3yz}=log {4x^2}-log {3yz}\\=log 4+log x^2-(log 3+log y+log z)\\=log 4+2 log x-log 3-log y- log z

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Answer:

See explanation

Step-by-step explanation:

The equation of the shpere canterd at point (a,b,c) with radius R is

(x-a)^2+(y-b)^2+(z-c)^2=R^2

The center of the sphere is (2,-9,1), the radius is 2, then the equation is

(x-2)^2+(y+9)^2+(z-1)^2=2^2\\ \\(x-2)^2+(y+9)^2+(z-1)^2=4

Now, find the intersection of this sphere with the plane z=2. Substitute 2 instead of z into the sphere equation:

(x-2)^2 +(y+9)^2+(2-1)^2=4\\ \\(x-2)^2+(y+9)^2+1=4\\ \\(x-2)^2+(y+9)^2=3

This is the equation of the circle lying in the plane z=2 with center at (2,-9,2) and radius \sqrt{3}.

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