4 years ago

Convert x2 + y2 = 16 to polar form.

Mathematics

1 answer:

Dafna1 [17]4 years ago

6 0

The Correct Answer is Option B

r = 4

Ex. CONVERT 2 + 2 = 4 x 4 = 16

You might be interested in

Y+1 y+8 y+2 y+7

kipiarov [429]

$\dfrac{y+1}{y+2}+\dfrac{y+8}{y+9}=\dfrac{y+2}{y+3}+\dfrac{y+7}{y+8}$

Write all fractions in terms of a common denominator:

$\dfrac{y+1}{y+2}=\dfrac{(y+1)(y+9)(y+3)(y+8)}{(y+2)(y+9)(y+3)(y+8)}$

$\dfrac{y+8}{y+9}=\dfrac{(y+8)^2(y+2)(y+3)}{(y+2)(y+9)(y+3)(y+8)}$

$\dfrac{y+2}{y+3}=\dfrac{(y+2)^2(y+9)(y+8)}{(y+2)(y+9)(y+3)(y+8)}$

$\dfrac{y+7}{y+8}=\dfrac{(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}$

Then move all fractions to one side and simplify the numerator:

$\dfrac{(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}=0$

The numerator dictates when the fraction reduces to 0. The denominator can never be 0, so we know that <em>y</em> cannot take any of the values -2, -9, -3, nor -8.

So the equation reduces to

$(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)=0$

Expand the left side; you would end up with

$-6(2y+11)=0$

$2y+11=0$

$2y=-11$

$\implies\boxed{y=-\dfrac{11}2}$

8 0

3 years ago

Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2, –2).

Dmitrij [34]

Answer:

the point is 3 i think

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

True or false

Ira Lisetskai [31]

I think the answer is true :)

7 0

3 years ago

Read 2 more answers

A store having a sale on shirts. The sale is buy one shirt, get one on 50% off. The original price of one shirt is $20.48. Micha

erastova [34]

Answer:

Step-by-step explanation:

4 0

3 years ago

You will roll a dice, then flip a coin. What are the odds you land on a "4", then "heads".

Maslowich

Answer:

2/8

Step-by-step explanation:

3 0

3 years ago