Answer:
7p−q−12
Step-by-step explanation:
Answer:
C, x ≥ 14.96
Step-by-step explanation:
Step 1: Add 3.408 to both sides.
2.2x − 3.408 (+ 3.408) ≥ 29.504 (+ 3.408)
2.2x ≥ 32.912
Step 2: Divide both sides by 2.2.
2.2x (÷ 2.2) ≥ 32.912 (÷ 2.2)
x = 14.96
The normal vector to the plane <em>x</em> + 3<em>y</em> + <em>z</em> = 5 is <em>n</em> = (1, 3, 1). The line we want is parallel to this normal vector.
Scale this normal vector by any real number <em>t</em> to get the equation of the line through the point (1, 3, 1) and the origin, then translate it by the vector (1, 0, 6) to get the equation of the line we want:
(1, 0, 6) + (1, 3, 1)<em>t</em> = (1 + <em>t</em>, 3<em>t</em>, 6 + <em>t</em>)
This is the vector equation; getting the parametric form is just a matter of delineating
<em>x</em>(<em>t</em>) = 1 + <em>t</em>
<em>y</em>(<em>t</em>) = 3<em>t</em>
<em>z</em>(<em>t</em>) = 6 + <em>t</em>