Determine parametric equations of the line segment from point p(4, 5, −1) to q(−7, 2, 3). (enter your answers as a comma-separated list of equations. let 0 ≤ t ≤ 1 be the parameter.)

we are given two points as

p=(4, 5, −1)

q=(−7, 2, 3)

we have to find parametric equation

firstly, we will find pq

now, we can find equation of line

L: p +t(pq)

so, we get

................Answer

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: