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3 years ago

Convert R=(12)/4+8sin the theta to rectangular form

1 answer:

5 0

$r=\dfrac{12}{4+8\sin\theta}=\dfrac3{1+2\sin\theta}$

Let $y=2\sin\theta$ , and recall that in polar coordinates, $r=\sqrt{x^2+y^2}$ . This means you have

$\sqrt{x^2+y^2}=\dfrac3{1+y}$

You can stop there, or try to find something that looks somewhat nicer.

$x^2+y^2=\dfrac9{(1+y)^2}$

You might be interested in

Intersecting lines are _____ coplanar. Sometimes Never Always

olga55 [171]

Answer:

Always

Step-by-step explanation:

Coplanar lines are lines that intersect making intersecting lines always coplanar.

6 0

3 years ago

I need to know the distance and if your could please tell me the formula for future problems thank you!! ASAP

Ksivusya [100]

Distances in 2- and 3-dimensions (and even higher dimensions) can be found using the Pythagorean theorem. The straight-line distance can be considered to be the hypotenuse of a right triangle whose sides are the horizontal and vertical differences between the coordinates.

Here, you have A = (0, 0) and B = (3, 6). The horizontal distance between the points is ...

... 3 - 0 = 3 . . . . the difference of x-coordinates

The vertical distance between the points is ...

... 6 - 0 = 6 . . . . the difference of y-coordinates

Then the straight-line distance (d) between the points is found from the Pythagorean theorem, which tells you ...

... d² = 3² + 6²

... d = √(9 + 36) = √45 ≈ 6.7 . . . units

8 0

3 years ago

P(x) =x and q(x) = x-1Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational functio

Arte-miy333 [17]

we have the following function

$\frac{p(x)}{g(x)}=\frac{x}{x\text{ -1}}$

where x is between -9.4 and 9.4 and y is between -6.2 and 6.2.

We will first draw the function

from the graph, we can see that the zeroes are all values of x for which the graph crosses the x -axis

In this case, we see that that the only zero is at x=0.

Now, we have that the asymptotes are lines to which the graph of the function get really close to. On one side, we can see that as x goes to infinity or minus infinity, the values of the function get really close to 1. So the graph has a horizontal asymptote at y=1. Also, we can see that as x gets really close to 1, the graph gets really close to the vertical line x=1. So the graph has a vertical asymptote at x=1.

Recall that the domain of a function is the set of values of x for which the function is defined. From our graph, we can see that graph is not defined when x=1. So the domain of the function is the set of real numbers except x=1. Now, recall that the range of the function is the set of y values of the graph. From the picture we can see that the graph has a y coordinate for every value of y except for y=1. So, this means that the range of the function is the set of real numbers except y=1.

From the graph, we can see that we cannot draw the graph having a continous drawing. That is, imagine we take a pencil and start on one point on the graph on the left side. We can draw the whole graph on the left side, but we cannot draw the graph on the right side without lifting the pencil up. As we have to "lift the pencil up" this means that the graph is not continous

Finally note that as we have a vertical asymptote at x=1 and horizontal asymptote at y=1 we have that when y is 1 or x is 1, the function y=f(x)/g(x) is undefined

5 0

1 year ago

Find the perimeter of the figure?

zhannawk [14.2K]

Answer:

Step-by-step explanation:

9+9+9+9=36

8 0

3 years ago

Read 2 more answers

Round off the following numbers to the nearest thousand. 19. 674,620 20. 355,500

Oksana_A [137]

Answer:

1) 675,000.

2) 356,000

Step-by-step explanation:

There are some rules to round off to the nearest thousand.

1. While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’.

2. If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by ‘0’ and the thousands place is increased by 1.

We have given two numerals:

1)<u> 674,620</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 675,000.

2) <u>355,500</u>

According to the second rule defined the digit at the hundreds place is greater than 5 than the thousands place will be increased by 1.

The answer is 356,000....

4 0

3 years ago