Find parametric equations for the following curve. include an interval for the parameter values. the line that passes through the points (- 4, 3) and (2, - 5). oriented in the direction of increasing x.

choose the correct set of parametric equations and interval below.

a. x = -4 + 3t, y = 3 - 4t: - 2 lessthanorequalto t lessthanorequalto 3

b. x = - 4 + 3t, y = 3 - 4t: - infinity < t < infinity

c. x = 3 - 4t, y = - 4 + 3t: - infinity < t < infinity

d. x = 3 - 4t, y = - 4+ 3t: -2 lessthanorequalto t lessthanorequalto 3

A. x = -4 + 3t, y = 3 - 4t: - 2 lessthanorequalto t lessthanorequalto 3

Step-by-step explanation:

Given that a line in two dimension passes through (-4,3) and (2,-5) oriented in the direction of increasing x

We can write the line equation in parametric form as

The values of t when x=-4 is 0 and when x =2 is 1

So t varies from 0 to 1

If instead of t we give t' say which is t +2

then we have

t he parametric equations as

x =-4+3t and y = 3-4t

For  x=-4, t =2 and for x = 2 , t =3

So option A is right.

l.jnl.j/n.m,lm,

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.