Find the standard equation of the sphere. Center: (-3, 2, 4), tangent to the yz-plane

Find an equation of the sphere with center (2, 1,−3) that is tangent to the plane x−3y+2z=4.

Find an equation of the circle that satisfies the given conditions. Center (7, -3); tangent to the x-axis

Find the standard equation of the sphere. Endpoints of a diameter: (0, 0, 4), (4, 6, 0)

Find the coordinates of the center of a circle that is tangent to the y-axis and intersects the x-axis at (8, 0) and (18, 0).

Find an equation of the circle that satisfies the given conditions. Center (7,-3); tangent to the x-axis.

Write the equation of each sphere. The center is at (1,5,4) and the sphere is tangent to the yz -plane.

Find the standard equation of the sphere with the given characteristics. Center: (3, -2, 6); Radius: 4

find the standard form of the equation of the sphere with the given characteristics. Endpoints of a diameter: (3, 0, 0), (0, 0, 6)

Find an equation of the sphere with its center at (-2,1,5) and tangent to x+2y-2 z=8.

Find the standard equation of the sphere that has: Center: $(-3,2,4)$, tangent to the $y z$-plane

Write inequalities to describe the region. The solid upper hemisphere of the sphere of radius 2 centered at the origin

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward a distance of 3 units. What are the coordinates of your .position?

Determine whether the statement is true or false. If it is false, explain why. -If v = ai + bj = 0, then a = -b.