A NASA mathematician used a system of equations to determine the point in space where a satellite crossed paths with a massive piece of space debris. How many equations did he need? And how many variables were needed to find the exact location in space?A) 3 equations with 2 variablesB) 2 equations with 2 variablesC) 2 equations with 3 variablesD) 3 equations with 3 variables

Answer:Option D.3 equations with 3 variablesStep-by-step explanation:The coordinates of a point in space must necessarily have 3 components. One to describe the distance on the x axis, another to describe the distance on the y axis to the point, and a third to describe the distance on the z axis. If we have three variables, then 3 equations are needed to solve the system. With less than 3 equations it would be impossible to solver the system. Therefore the correct answer is option D. 3 equations with 3 variables