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Rasek [7]
3 years ago
6

Convert the rectangular equation x^2 + y^2 = 2y to polar form

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

c) r= 2sin θ

Step-by-step explanation:

Remember, r=\sqrt{x^2+y^2} \\

therefore,r^2=x^2+y^2

Also y= rsin θ

Given rectangular equation:

x²+y²+ 2y

r²= 2(rsin θ)

r²= 2rsin θ

dividing r from both sides

r= 2sin θ

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The function f(x) varies inversely with x and f(x)=-15 when x=30
meriva
F(x) is the function that represents a given equation. It is defined more specifically by rules or conditions to satisfy the whole formula/equation.

In this case, f(x) has an inverse proportion with x (e.g. f(x) = 1/x). The second parameter says that f(x) = -15 when x is 30. Given that condition, just look for the formula, among the choices, that will result to -15 when x = 30. The answer is:

D. f(x) = -450/x

This is just -450/30 = -15
3 0
3 years ago
Write the equation of a vertical ellipse with a major axis of 20, a minor axis of 12, and a center of (6, 3)
maksim [4K]

Answer:

The equation of a vertical ellipse is  \frac{(x-6)^2}{100} + \frac{(y-3)^2}{36}   = 1\\

Step-by-step explanation:

Here, given:

Length of major axis:  20

⇒ 2 a  = 20  , or , a = 10

Length of minor axis:  12

⇒ 2 b  = 12  , or , b = 6

Also, center (h,k)  = (6,3)

Now, STANDARD EQUATION OF ELLIPSE :

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}   = 1\\

Now, substituting the values, a, b , h and k in above expression, we get:

\frac{(x-6)^2}{10^2} + \frac{(y-3)^2}{6^2}   = 1\\

or, \frac{(x-6)^2}{100} + \frac{(y-3)^2}{36}   = 1\\

Hence, the equation of a vertical ellipse is  \frac{(x-6)^2}{100} + \frac{(y-3)^2}{36}   = 1\\

3 0
3 years ago
) y = 2x - 4<br> y = -3x + 1
tatiyna

Answer:

I think x = -8. Hope this helps!! :)

3 0
2 years ago
What percent is equivalent to 840 ? 8% 20% 25% 40%
Harrizon [31]

Answer:


8/10 are none of these. 8/10 is 80% unless your talking how much percent more to get to 10/10



8 0
3 years ago
Read 2 more answers
Clarice graphed the amount of money in her savings account during the past six months on the line graph.
Galina-37 [17]

Answer:

Month 4 and 5

Step-by-step explanation:

This graph shows a very big increase in the change of the amt of money from 50 to 90 which is a 40 difference

5 0
3 years ago
Read 2 more answers
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