find a formula for the distance between the points with polar coordinates (r1, 1) and (r2, 2)

Answers

Answer 1

To find the distance between two points with polar coordinates (r1, 1) and (r2, 2), we need to convert the polar coordinates to Cartesian coordinates.

The formula to convert polar coordinates to Cartesian coordinates is x = r cos(theta) and y = r sin(theta), where r is the distance from the origin and theta is the angle from the positive x-axis.

Using this formula, we can convert the first point (r1, 1) to Cartesian coordinates (x1, y1) as x1 = r1 cos(1) and y1 = r1 sin(1). Similarly, we can convert the second point (r2, 2) to Cartesian coordinates (x2, y2) as x2 = r2 cos(2) and y2 = r2 sin(2).

Once we have the Cartesian coordinates of the two points, we can use the distance formula to find the distance between them. The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Substituting the Cartesian coordinates, we get the formula for the distance between the points with polar coordinates (r1, 1) and (r2, 2) as:

d = sqrt((r2 cos(2) - r1 cos(1))^2 + (r2 sin(2) - r1 sin(1))^2)

In conclusion, to find the distance between two points with polar coordinates (r1, 1) and (r2, 2), we need to convert the polar coordinates to Cartesian coordinates and then use the distance formula. The resulting formula involves trigonometric functions and the difference between the angles of the two points.

Learn more about Cartesian coordinates here:

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Related Questions

2x3(5-4)/6.2
Algebra

Answers

6/6.2 OR 0.627

Step-by-step explanation:

[tex] \frac{2 \times 3(5 - 4)}{6.2} [/tex]

6(1)/6.2 = 6/6.2 OR 0.627

‼️ PLEASEEE HELPP ‼️

Answers

Answer:

x=18

Step-by-step explanation:

When a triangle has a midline the midline (in this case "3x-43") is 1/2 of the base of the triangle (in this case "4+x") so you can then say

4+x = 2(3x-43)

Solve that out to find that x = 18

Please help, will mark brainliest, do not do for points or I will report, explanation please or no brainliest
Multiply.
2y - 1
2y + 1
4y^2 + 1

Answers

Answer:

to multiply-----

(2y-1)(2y+1)

2y(2y+1)-1(2y+1)

4y^2+2y-2y-1

=4y^2-1

Mr. Villa bought 91.25 inches of plastic
labeling tape. He will make labels 1.25 inches long
each. How many labels can he make?
1. What is asked in the problem?
A. the measurement of the tape
B. the labels can he make to the tape
C. inches of plastic labeling tape
D. Mr. Villas tape
2. What is the answer?
A. he can make 69 labels
B. he can make 70 labels
C. he can make 72 labels
D. he can make 73 labels​

Answers

Answer:

1) B. the labels can he make to the tape

2) D. he can make 73 labels

Step-by-step explanation:

1) We are told that He will make labels 1.25 inches long each. We are asked the number of labels he can make.

Thus, correct answer is option B.

2) He wants to make labels 1.25 inches long out of 91.25 inches of plastic.

Thus, number of labels he can make = 91.25/1.25 = 73 labels


Select all ordered pairs that satisfy the function y =
= 8x + 3
A.
(0,3)
B.
(-1, 43)
C.
(0, -45)
D.
(5, 43)

Answers

Answer:

A. (0,3)

Step-by-step explanation:

Find the surface area of the pyramid. The side lengths of the base are equal.
there are 3 sides and a bottom

the base is 12 and the height is 17

Answers

if the side lengths of the base (12) are equal, then they are both 6. so the answer rounded to the nearest tenth is 148.7

Which expression is equivalent 10x+10
A.2x+5x+4x+5+5
B.2x+8x+1+3+6
C.5x+5x+2+4+4+1
D.2x+9x+5+5
(7th grade) Combing like terms.

Answers

i believe the answer is c !

Answer:

the answer to that question is letter A.2x+5x+4x+5+5

I need help ASAP !!
Find the length of a

Answers

Step-by-step explanation:

Please refer to the attachment

NEED HELP AND RIGHT ANSWER DONT RUSH! REWARD BRAINLIEST

Answers

Answer:

1.) x = 49 or x = -49

2.) x = -1/2 or x = -5

4. y=(x+7)(x-7) so the last one I think idfk I just factored it
5. Y = (2x+1) (x-5)

Is 5 a solution to 3x=35

Answers

Answer:

No because 35/3 is 11.67 :))

Step-by-step explanation:

Hope this helped :)) Please mark brainliest:))

Kailey is thinking of two numbers. The larger number is equal to twice the smaller increased by 12. Two times the smaller number plus three times the larger is equal to 100. Let x = smaller number and y = larger number. What is the first equation in the system? Do not put spaces in your answer.

Answers

Answer:

y=2x+12

Step-by-step explanation:

We first double the smaller number (2x) and then increased it by 12 (+12), this makes the larger number y.

Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
C: w more than 5
D: 5 less than w

Answers

Answer:

The answer probably is A

What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1

Answers

Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!

4x - (-6) what’s the answer

Answers

Answer:

4x + 6

Step-by-step explanation:

If i remember correctly, two minuses make a positive, so -(-6) would turn into +6. I dont think that you can add a number with a variable to a regualar number so the answer is as simplified as it can get. If that one is wrong, try 10x. Hope this helps!

∆ has the coordinates (3, 1), (5, 2), (4, 3). ∆´´´ has coordinates (-1, 2), (1, 3) and (0, 4). Which choice describes the translation of ∆ to ∆´´? A +4 units in the direction of x and -1 units in the direction of y B -4 units in the direction of x and +1 units in the direction of y C +4 units in the direction of x and +1 units in the direction of y D -4 units in the direction of x and -1 units in the direction of y

Answers

Answer:

B -4 units in the direction of x and +1 units in the direction of y

Step-by-step explanation:

Given

[tex]A = (3, 1), (5, 2), (4, 3)[/tex]

[tex]A^{-1}= (-1, 2), (1, 3) (0, 4)[/tex]

Required

Determine the translation from A to A-1

Take (3,1) from A and (-1,2) fro A-1 as points of reference,

For translation to occur, we make use of:

[tex](3 + x,1+y) = (-1,2)[/tex]

By comparison:

[tex]3 + x = -1[/tex] and [tex]1 + y = 2[/tex]

Solve for x and y

[tex]3 + x = -1[/tex]

[tex]x = -1-3[/tex]

[tex]x = -4[/tex]

[tex]1 + y = 2[/tex]

[tex]y = 2 - 1[/tex]

[tex]y=1[/tex]

(B) is correct.

What is the value of y when the value of x is 1

Answers

60 because every x number equals 60 y numbers also if you divide the last x number which is 4 by the last y number that is 240 you get 60

HELP QUICK. By combining three equations, it can be shown that a2+b2=c2. One of the equations is c=e+f. Which of the following could be the other two equations?

Answers

Answer:

bc=eb and ca=fa

please tell me if this is actually the right answer

Step-by-step explanation:

bc=eb and ac=fa is wrong

bc=eb and ca=fa is right

cb=eb and ac=fa is wrong

ba=eb and ab=fa is wrong

I don't understand this? help me! Linear functions 9th-grade math

Answers

Answer:B i think

Step-by-step explanation:

If the sum of the interior angles of a polygon is 29160, how many sides does it have?

Answers

Answer:

fhuguyguy

Step-by-step explanation:

factorise 49x²-y² class 8​

Answers

Answer:

(7x-y)(7x+y)

Step-by-step explanation:

Answer:

(7x-y)×(7x+y)

Step-by-step explanation:

49x²-y²

7²x²-y²

(7x²)-y²

(7x-y)×(7x+y)

what is the percent of change from 85 to 64

Answers

Answer:

-24.71%

Step-by-step explanation:

Here is a polygon. Use the scale factor of 1/2 determine the new side length for A *

Answers

Answer:

i need to see the polygon my guy

Step-by-step explanation:

someone write down the answers please i need it!!

Answers

Just found it on website - Corbettmaths

el area de un rectangulo es 84 cm cuadrados si la base mide 9 cm cuanto mide la altura y cual es su perimetro?​

Answers

Si pero no pero hello en ese yo tu pero ella es un loca

PLEASE HELP IM BEING TIMED I WILL MARK BRAINLY
Which inference is reasonable based on the data in the scatter plot?
A If Person A goes to school for 16 years and Person B goes to school for 12 years, Person B can expect to make
more money than Person A.
* If Person B does not go to college and Person A goes to college, Person B will earn more money than Person A.
© If Person A goes to school twice as long as Person B, Person A can expect to make twice as much as Person B.
D
If Person B goes to college and Person A does not go to college, Person B is likely to earn more money than
Person A.

Answers

We don't have the scatter plot

Solve the equation y – 5x = –7 for y.
A. y = 5x – 7
B. y = –5x – 7
C. y = 5x + 7
D. y = –5x + 7

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer: A. y = 5x -7

Step-by-step explanation:

Y - 5x = -7

+ 5x + 5x

Y = 5x - 7

**you can’t subtract -5x to -5x because it’s already a negative. It should be a positive 5x so you can move it to the other side.

The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume of the prism? Enter your answer as a polynomial in standard form.

Answers

Answer:

the answer will be x^3 + 2x^2 + 9x

Step-by-step explanation:

as :

volume = l* w* h

= X * (X + 2) * (X + 3)

= X ^ 2 + 2 X (X + 3)

= x ^2 (X + 3) + 2x (X + 3)

= x^3 + 3x +2x ^2 + 6x

= x^3 + 2x^2 + 9x

Leah puts together gift bags of toys to sell at the flee market. She places exactly 6 toys in each bag. She only sells full bags of toys Leah has 280 toy cars. She can fill 46 toy cars Part B Leah has enough toy trucks to fill 25 gift bags. How many toy cars and toy trucks were put in gift bags to sell at the flee market

Answers

Answer:

320 toy cars and 25 toy trucks

Step-by-step explanation:


1. Three different scout troops have 12, 24, and 18 members. These troops must march together in a parade in
the same number of columns. What is the greatest possible number of scouts in each column?
9 scouts
b. 6 scouts
c. 8 scouts
d. 4 scouts

Answers

Answer:

Step-by-step explanation:

12 = 2^2*3

24 = 2^3*3

18 = 2*3^2

Greatest common factor = 6

The answer is b. These troops must March together in a parade in 6 scouts.

What’s 20 times 69?????

Answers

Answer:

1,380

Step-by-step explanation:

Answer:

20x69 = 1,380

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