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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 point D(-4, 4) is reflected over the x-axis. What are the
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3 years ago
Find the slope and write an equation with these to points (0,-2) (3,1)<br><br> plz explain
tatiyna

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

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So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

7 0
3 years ago
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Step-by-step explanation:

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5 less the quotient of 14 times a number x and 9
AURORKA [14]

Answer:

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Step-by-step explanation:

14 times a number x :  14* x = 14x

Quotient of 14 times a number x  an 9 :   \frac{14x}{9}

5 less the quotient of 14 times a number x and 9 :

\frac{14x}{9}-5

7 0
3 years ago
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