Which points are on the plane curve described by the following set of parametric equations? select two
x = 4t + 3 and y = 5t^2
answer choices:
(-1 , -5)
(-1 , 5)
(1 , 7)
(2 , 11)
(7 , 5)

ANSWER

(-1,5)

(7,5)

EXPLANATION

The given set of parametric equations is:

and

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

We put this into the second equation to get;

When x=-1,

Therefore (-1,5) lies on this line.

When x=7,

Therefore (7,5) also lie on this line.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.