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2 years ago

Pls help I’m failing

Mathematics

1 answer:

GuDViN [60]2 years ago

6 0

Answer:

-7

Step-by-step explanation:

you divide both sides by -2 and 14/-2 is equal to -7

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

5 0

2 years ago

Read 2 more answers

A bicycle tire has a diameter of 3 feet. How many turns of the wheel could it take for the bicycle to go 792 feet?

Andrew [12]

Answer:

84 complete turns

Step-by-step explanation:

In order to find the number of turns that the bicycle wheel is going to take while going 792 feet, we need to find the circumference of the wheel.

$C = \pi \: d = 3.14 \times 3 = 9.42 \: ft \\ no \: of \: turns = \frac{792}{9.42} \\ = 84.0764331 \\ = 84 \: turns$

7 0

3 years ago

A board game has a spinner with four different options of how a player can move: move forward 1 space, move forward 2 spaces, mo

leva [86]

The answers are:

A. 7/12

B. 5/12

4 0

2 years ago

This is for my Precalculus teacher and I am kinda confuse, help please!!

Andrews [41]

Answer:

They are different

6 0

3 years ago

the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second

mojhsa [17]

Answer:

2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

A = πr²

dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

25π = πr² ⇒ r = 5

20 = 2π·5·dr/dt

dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

4 0

3 years ago