Find Parametric Equations for the Line Through the Point $( 4,5,5 )$

question 93

Multiple Choice

Find parametric equations for the line through the point $( 4,5,5 )$ that is parallel to the plane $x + y + z = - 15$ and perpendicular to the line $x = 15 + t , y = 12 - t , z = 3 t$ .
Select the correct answer.

• A) \(x = 4 t , y = - 2 t , z = - 2 t + 5\)
• B) \(x = 4 t , y = - 2 t + 5 , z = - 2 t\)
• C) \(x = 4 t + 2 , y = - 2 t + 5 , z = - 2 t + 5\)
• D) \(x = 4 t + 4 , y = - 2 t + 5 , z = - 2 t + 5\)
• E) \(x = 4 t + 2 , y = - 2 t + 5 , z = 0\)

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Definitions:

Biological Sex

The physical characteristics, such as reproductive and sexual anatomy, chromosomes, and hormone levels, that are used to classify individuals as male, female, or intersex at birth.

Reproductive Distinctions

The inherent or socially constructed differences in reproductive roles and functions among sexes and genders.

Hermaphrodite

An organism that has both male and female reproductive organs, allowing it to produce both sperm and ova.

Estrogen

A group of steroid hormones that play a crucial role in the female reproductive system and the development of female secondary sexual characteristics.