Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)? x(t) = –5 + t; y(t) = 3 – 6t x(t) = –5 + 3t; y(t) = 1 – 6t x(t) = –5 + 6t; y(t) = 3 – 9t x(t) = –5 + 8t; y(t) = 1 – 7t

The initial point has coordinates (-5,3), then x=-5, y=3.

A. If and then t=0.

B.  If and then t is undefined.

C.  If and then t=0.

D.  If and then t is undefined.

This means that options B and D are false.

The terminal point has coordinates (1,-6), then x=1, y=-6.

A.   If and then t is undefined.

C.   If and then t=1.

option C.

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2