Checks if point A(5, -1, 5) is on the plan with parametric equations.     X = 4-2s + t Y = -1-3s + 2t Z = 2s-3t

Q: (Precalculus) Which of the following is an equation of the circle passing through (6,-5) and tangent…

A:

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

A:

Q: A line passes through the center of a circle and intersects it at points (-1,2) and (5,10). What is…

A: equation of line passing through points (x1, y1) and (x2, y2) is:  y-y1=y2-y1x2-x1(x-x1)    Equation…

Q: In which direction does the parabola x = -y 2 + 3 open?

A: x=-y2+3 There are two patterns for a parabola, as it can be either vertical (opens up or down) or…

Q: The equation of a circle is (x + 10)² + (y − 4)² = 100. - What is the center and radius of the…

A:

Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: What is the center and radius for the equation (x - 4)² + (y + 6)² = 81 ?

A:

Q: (x + 4)2. (v- 1)² 1? 36 What are the lengths of the major and minor axes of 16 A Major: 36; Minor:…

A:

Q: What is the equation for a sphere centered at the point (4,-3,-7) with a radius of 5.

A: The general equation for a sphere in three dimensions is given by (x - h)^2 + (y - k)^2 + (z - l)^2…

Q: Write an equation In standard form for the circle. -4 12 16 x -13 w16- o (x - 6) + (y+ 8)* - 64 %3D…

A: Mark some coordinates on the circle.

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: Complete the squares and shift the origin for the equation z= 2a + y? - 6x + 4y+3. Which of the…

A: Completing the squares and shifting the origin for the equation, z=2x2+y2-6x+4y+3…

Q: If someone puts 3 red socks, 6 white, 2 yellow, and 7 black in a bag. a. What is the probability…

A: According to the given information, it is required to find the probability of the given information.…

Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: could you please show the steps of how you obtained that rectangular equation? thank you!

A: As per the question we are given the equation of an ellipse in parametric form, and we have to find…