Mathematics: Graph y1 = -6x - 3 How to graph this

Graph y1 = -6x - 3 How to graph this

isalita

26.03.2023

$(x-7)^2+(y-1)^2+(z+1)^2-9\le 0$

Step-by-step explanation:

A ball is the solid inside a surface which is a sphere.

The equation of a sphere has the form:

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

Where (h,k,s) is the center and r is the radius.

When we plug the given center (7,1,-1) and radius 3 we get:

(x-7)^2+(y-1)^2+(z+1)^2= 3^2

Then we turn this into an inequality: Since the ball is inside the surface we must use the $\le$ symbol.

$(x-7)^2+(y-1)^2+(z+1)^2\le 9$

Then we just subtract 9 from both sides to get:

$(x-7)^2+(y-1)^2+(z+1)^2-9\le 0$

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