A biologist determines that the path of a bee from its hive to its foraging site can be described by the parametric equations x- 4t-1 and y-22+3t-4. Which of the following equations is the curve described by these parametric equations?
y=20x-9
y=20x+16
x^2+8x-25/8
x^2+4x-37/8
Reiny is being rude as hell.
It's
y= x^2+8x-25/8
y= x^2+4x-37/8
I'm sorry Reiny just need help with problems I got wrong so I can understand it
To determine which equation represents the curve described by the given parametric equations, we need to eliminate the parameter t and rewrite the equation in terms of x and y.
We have the parametric equations:
x = 4t - 1
y = 22 + 3t - 4
To eliminate t, we solve the first equation for t:
t = (x + 1) / 4
Substituting this value into the second equation for t:
y = 22 + 3((x + 1) / 4) - 4
y = 22 + (3x + 3) / 4 - 4
y = 22 + (3x + 3 - 16) / 4
y = 22 + (3x - 13) / 4
y = (88 + 3x - 13) / 4
y = (3x + 75) / 4
Now we have an equation in terms of x and y. Let's compare this equation with the given options:
a) y = 20x - 9
b) y = 20x + 16
c) x^2 + 8x - 25/8
d) x^2 + 4x - 37/8
Comparing the equation (3x + 75) / 4 with the given options, we see that none of the options match that form. Therefore, none of the provided equations represents the curve described by the given parametric equations.
sloppy typing.
Your given parametric "equations" are not equations.
Your last two choices are not equations.