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2 years ago

Eliminate the parameter. X=t^2+1, y=t^2-1

Mathematics

1 answer:

Kaylis [27]2 years ago

6 0

Solve for t

by taking the square root of both sides of the equation.

y=)(√ x-1,-√ x-1)2-1

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2 Examine the graph shown below. 1 2 1 3 2 Enter the slope of the line.

exis [7]

Answer:

4/5 or 0.8

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago

Adult tickets for the movie theater cost $9. Child tickets cost $5.25. Write an expression for the total cost of a group of adul

sammy [17]

Answer:

Step-by-step explanation:

9a + 5.25c

5 0

2 years ago

Solve the equation. 4x - 3/5 = 2/5 A. 1/5 B. 5/5 C. 1/2 D. 1/4

barxatty [35]

The answer is D. you add the 3/5 to the other side to get 1. and then you divide one and 4x to get 1/4.

8 0

2 years ago

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Graph (1,1), (1,2), (1,3), (1,4)

jenyasd209 [6]

Answer:

There is not a way that I can show you how to graph it, so I will try and explain it.

Step-by-step explanation:

(1,1)

^ ^ y-axis

x-axis

You are just going right however many, and then up however many it says.

So if it's (1,1) you will go right one space, and then up one space.

Once you have all of your points on the graph, you put a line through them.

Hope this helps! :)

3 0

2 years ago