Which points are on a plane curve described by the following set of parametric equations?
select all that apply

x= 3t+4 and y= 2t^2

(1,-2)
(1,2)
(1,7)
(2,10)
(7,2)

ANSWER

The points (1,2) and (7,2) lie on the given curve.

EXPLANATION

The given parametric equations are:

and

We make t the subject in the first equation to obtain:

We substitute this into the second equation to get:

When x=1,

When x=2

When x=7,

Therefore the points (1,2) and (7,2) lie on the given curve.

11 feet 6 inches and 8 feet 6 inches

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1