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.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x