Help please!!!!!!!!!!!!!!!!!!

Given that x=3sinθ-2 and y=3cosθ+4.Show that (x+2)²+ (y-4)²=9

asambeis [7]

Answer:

First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:

$((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9$

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

$(3\sin(\theta))^2+(3\cos(\theta))^2=9$

We can factor out 3^2 = 9 from both equations:

$9(\sin(\theta)^2+cos(\theta)^2) = 9$

We know from a trigonometric identity that $\sin(\theta)^2+cos(\theta)^2 = 1$ , meaning we can reduce the equation to:

$9(1) = 9$

$9=9$

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.

Hope this helped you.

7 0

3 years ago

I need help ASAP , so what’s the answer

aivan3 [116]

The answer would be A.) 1

To find this answer you solve for x. Subtract 3/2 from both sides. This will give you 1/2x = 1/2^x. Then, divide by 1/2 on both sides to get x = 1.

To check this fill in x with 1. Then solve.

1/2 * 1/1 + 3/2 = 2^1
1/2 + 3/2 = 2
4/2 = 2
2 = 2

Thus making 1 the answer. Here's an image to show how I got this. I hope this helps!

6 0

3 years ago

Which of the following is a trinomial?

Masja [62]

Although you didn't provide any answer choices:

A trinomial is an expression with exactly three terms that can't be combined an example would be this

x^2 - 3x + 1

None of those terms can be combined

x^2 + 3 - 4 has three terms but it isn't considered a trinomial because you can simplify it to x^2 - 1 which is known as a binomial because it has 2 terms in it's simplified form.

hope this helps C:

5 0

3 years ago

Read 2 more answers

Please take a look at the imageeeeeeeeeeeee

kramer

Answer:

I'm not alone

It's just me and your ghost

And this cripplin' depression

I thought I learned my lesson

But I threw out my phone

And I burned all your clothes

And now I'm not alone

It's just me and your ghost

[Verse 1]

I got four red bottoms up in flames at my place now (Place now)

I burned three Chanel dresses, three words we don't say now (Say now)

And it's hard not to drink when it's the one thing I think about

It's a lot of spiders in the attic, I don't mean to be dramatic

But I think it's kinda tragic who we magically became now

[Chorus]

I'm not alone

It's just me and your ghost

And this cripplin' depression

I thought I learned my lesson

But I threw out my phone

And I burned all your clothes

And now I'm not alone

It's just me and your ghost

[Post-Chorus]

Me and your ghost

Me and your ghost (Yeah)

[Verse 2]

Tell me what I'm s'posed to do with all these pictures on my iPhone

Even all them videos only you and I know

You never cared about me, you just care about the likes though

Every time you pop up, you should see my stupid eye roll

I can't even kick it with the homies that we both know

I can't even vist with any places that we used to go

Now all I got is just the memories of us though

Burn it all down to the ground with your ghost

[Chorus]

I'm not alone

It's just me and your ghost

And this cripplin' depression

I thought I learned my lesson

But I threw out my phone

And I burned all your clothes

And now I'm not alone

It's just me and your ghost

[Post-Chorus]

Me and your ghost

[Bridge]

I wish I could take back summer nights

Erase all the vibes

Leave the memories out to dry

Delete forever, no archive

Take the words you said to me

Hold on to them intentionally

I know that eventually

I'ma set fire to the one thing I love the most

Burn it all to the ground with your ghost

[Chorus]

I'm not alone

It's just me and your ghost

And this cripplin' depression

I thought I learned my lesson

But I threw out my phone

And I burned all your clothes

And now I'm not alone

It's just me and your ghost

[Post-Chorus]

Me and your ghost

Step-by-step explanation:

3 0

3 years ago

Which kind of function best models the data in the table? Graph the data and write an equation to model the data.

mestny [16]

linear; y = x – 2 is answer! pls mark me as brainliest i need only 2 more to rank up! Hope I Helped

8 0

2 years ago

Read 2 more answers