Which of these ordered triples indicates where the plane cuts the x-axis for this equation? 7x +2y +3z =42 a. (14,0,0) b. (7,0,0) c. (21,0,0) or d. (6,0,0)

Option D is correct.

Step-by-step explanation:

Given Equation of plane is 7x + 2y + 3z = 42

We need to find ordered triplet where plane cuts the x-axis.

To find point of x-axis when plane cuts it. we put other coordinates equal to 0.

So, put y = 0 and z = 0 in equation plance to get x-coordinate of the required ordered triplet.

7x + 2 × 0 + 3 × 0 = 42

7x + 0 + 0 = 42

7x = 42

x = 6

⇒ ordered triplet = ( 6 , 0 , 0 )

Therefore, Option D is correct.

step-by-step explanation:

answer: h

step-by-step explanation: