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2 years ago

6

Question 8 of 10 This circle is centered at the origin, and the length of its radius is 3. What is the circle's equation?

1 answer:

alukav5142 [94]2 years ago

5 0

Answer: is x^2 + y^2 = 100

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Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

serious [3.7K]

Brad is correct.

Polynomials do not include negative exponents; this means there can be no variables in the denominator. If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator. This is not a polynomial.

6 0

2 years ago

One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

6 0

2 years ago

Solve for Y........................

aivan3 [116]

11 squared is 121
20 squared is 400
121+400= 521
The approximate square root of 521 is approximately 22.8254

4 0

3 years ago

A card is drawn from a standard 52-card deck. What is the probability that the card is a red 8, given that the card is an 8?

crimeas [40]

<span>probability that the card is a red 8
=
2 out of 52 or 1 out of 26

hope it helps</span>

8 0

3 years ago

Read 2 more answers

8k - 6 = 10k + 6<br> dress<br> Rhfhdhfjfjff

SashulF [63]

Answer:

-6 I meant

Step-by-step explanation:

5 0

2 years ago