Eliminate the parameter “t” for the parametric equations, where 0 < t < 5. x = √5t

y = 2t — 2

Answers:

A) y = 2/5x^2 — 2
B) y = 5/2X^2 — 5
C) y = 2√5x — 2
D) y = 2/5x^2 — 2

A) y = 2/5x^2 — 2

Step-by-step explanation:

We are given the parametric equation:

To express y in terms of x, we solve for t in the first equation and substitute in the second equation.

Squaring:

Solving for t:

Substituting in the second parametric equation:

Correct choice: A) y = 2/5x^2 — 2

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: