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uranmaximum [27]
3 years ago
9

Convert the polar equation to an equivalent rectangular equation:

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

Answer:

The correct answer will be option b

Step-by-step explanation:

We know that x = rcos( θ ), and y = rsin( θ ), so let's rewrite this polar equation.

r = 4( x / r ) + 2( y / r ),

r = 4x / r + 2y / r,

r = 4x + 2y / r,

r / 1 = 4x + 2y / r ( Cross - Multiply )

4x + 2y = r²

We also know that r² = x² + y², so let's substitute.

x² + y² = 4x + 2y,

x² - 4x - 2y + y² = 0,

Circle Equation : ( x - 2 )² + ( y - 1 )² = ( √5 )²,

Solution : ( x - 2 )² + ( y - 1 )² = 5

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A shirt originally cost $53.17, but it is on sale for $42.54. What is the percentage decrease of the price of the shirt? If nece
BARSIC [14]

Answer:

Step-by-step explanation:

20%. 53.17 times .8 is 42.54 meaning there's a 20% decrease

7 0
3 years ago
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You've saved up $97 to buy a new guitar. The guitar you want costs $125. Write an inequality.
Allushta [10]

Answer:

97 - is less than 125      Or 97 + x = 125

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

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3 years ago
Solve 4(2a-1) = -10(a-5)
densk [106]
Firstly, you've got to expand the brackets, this becomes;
8a-4= -10a+ 50
You've then got to eliminate the -10a and you do this by adding 10a to both sides,
This then becomes 18a-4=50
You've then got to add 4, to eliminate this, which then becomes 18a=54
You've then got to divide both sides by 18, and this becomes 3.
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4 0
3 years ago
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A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?
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7 0
3 years ago
6³ ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
inn [45]

ANSWER

3438

EXPLANATION:

<em>PARENTHESIS FIRST</em>

32 x 8 = 256

17 x 4 = 68

256 - 68 = 188

(<u>now the equation is, 6³ ÷ 4 + 2 x 9 (188))</u>

<u />

<em>EXPONENTS NEXT</em>

6³= 216

(<u>now the equation is, 216 ÷ 4 + 2 x 9 (188))</u>

<u />

<em>MULTIPLICATION AND DIVISION NEXT (left to right)</em>

216 ÷ 4 = 54

2 x 9 = 18

18 x 188 = 84

(<u>now the equation is, 54 + 3384)</u>

<u />

<em>LASTLY ADDITION AND SUBTRACTION (left to right)</em>

54 + 3384 = 3438

Ta-da!

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3 years ago
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