An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write
a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5
seconds after starting?

Respuesta :

Answer:

It actually (70, 195)

Step-by-step explanation:

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

How to define Parametric Equations?

The pair of parametric equations to model the path of the beetle is;

x(t)= 14t and y(t)= 37t + 10

An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds.

Proving the answer;

At t(0,10), x = 0 and y = 10

Thus;

For X-coordinate;

x(0) = 14(0)

x(0) = 0

Similarly;

For y-coordinate;

y(0) = 37(0) + 10

y(0) = 10

That corresponds with the coordinate t(0, 10).

At t = 2 seconds, we have;

For x-coordinate;

x(2) = 14(2)

x(2) = 28

Similalry, for the y-coordinate;

y(2) = 37(2) + 10

y(2) = 160

Now, At t = 2 seconds, we have;

For x-coordinate;

x(5) = 14(5)

x(5) = 70

Similalry, for the y-coordinate;

y(5) = 37(5) + 10

y(5) = 195

The point that represents the location of the beetle 5 seconds after starting are;  (70, 195).

Read more about Parametric Equations at;

brainly.com/question/10165611

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