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Over [174]
2 years ago
11

Convert the Cartesian equation x - 5 = 0 to a polar equation.

Mathematics
1 answer:
mylen [45]2 years ago
5 0

Answer:

  r = 5sec(θ)

Step-by-step explanation:

The usual conversion is ...

  y = r·sin(θ)

  x = r·cos(θ)

__

The second of these can be used here.

  r·cos(θ) -5 = 0

  r·cos(θ) = 5

  r = 5/cos(θ) = 5sec(θ)

A suitable polar equation is ...

  r = 5sec(θ)

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Solve the expression: x = 5, y = 8. x² - 3y =
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Answer:

x^2-3y

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Step-by-step explanation:

3 0
3 years ago
Jerry has been learning to multiply decimals by Integers.
Bogdan [553]

Answer:

Yes

Step-by-step explanation:

Multiplying an integer by 0.01 is the same as Dividing such as :

0.01 = 10^-2

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7 0
2 years ago
What is the radius of a circle with the equation x^2+y^2+6x-2y+3?
atroni [7]

Answer:

r = √13

Step-by-step explanation:

Starting with x^2+y^2+6x-2y+3, group like terms, first x terms and then y terms:  x^2 + 6x            + y^2 -2y             = 3.  Please note that there has to be an " = " sign in this equation, and that I have taken the liberty of replacing " +3" with " = 3 ."  

We need to "complete the square" of x^2 + 6x.  I'll just jump in and do it:  Take half of the coefficient of the x term and square it; add, and then subtract, this square from x^2 + 6x:     x^2 + 6x  + 3^2 - 3^2.  Then do the same for y^2 - 2y:  y^2 - 2y + 1^2 - 1^2.

Now re-write the perfect square x^2 + 6x + 9 by (x + 3)^2.  Then we have x^2 + 6x + 9 - 9; also y^2 - 1y + 1 - 1.  Making these replacements:

(x + 3)^2 - 9 + (y - 1)^2 -1 = 3.  Move the constants -9 and -1 to the other side of the equation:  (x + 3)^2 + (y - 1)^2 = 3 + 9 + 1 = 13

Then the original equation now looks like (x + 3)^2 + (y - 1)^2 = 13, and this 13 is the square of the radius, r:  r^2 = 13, so that the radius is r = √13.


8 0
2 years ago
Read 2 more answers
Read the excerpt from Immigrant Kids, and then answer the question.
pogonyaev

Answer:

Its A

Step-by-step explanation:

7 0
2 years ago
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Quantos que é -2 ao quadrado
Olegator [25]
No estoy segura e -2 ao quadrado esa es toda la pregunta
5 0
3 years ago
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