Convert r=8cos⁡θ+2sin⁡θ to rectangular equation

Answers

Answer 1

Answer:

Convert

r

=

8

cos

θ

2

sin

θ

to Cartesian form

#x^2 + y^2 - 8 x +2 y = 0, using

r

=

x

2

+

y

2

0

and

(

x

,

y

)

=

r

(

cos

θ

,

sin

θ

)

.

The Socratic graph of this circle,

with center at

(

4

,

1

)

and radius

17

.

is immediate.

graph{(x^2+y^2-8x+2y)((x-4)^2+(y+1)^2-0.04)=0[-1 23 -6 6] }


Related Questions

Which postulate proves these triangles are similar? (giving brainliest and thanks to all!)

Answers

It’s SAS. Hope I helped sorry if I got it wrong

What is an equation of the line that passes through the points
(
0
,

4
)
(0,−4) and
(

4
,
6
)
(−4,6)?

Answers

Answer:

[tex]y=-\frac{5}{2}x-4[/tex]

Step-by-step explanation:

[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]

[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]

What is the sum of the measures of the interior angles of this heptagon?
A) 720°
B) 900°
C) 1,080°
D) 1,260°

Answers

the answer would be D

The sum of the measures of the interior angles of the given heptagon is 900°, Option B is correct

What is Polygon?

a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

The sum of the measures of the interior angles of a heptagon can be found using the formula:

S = (n - 2) × 180°

where S is the sum of the measures of the interior angles and n is the number of sides (or vertices) of the polygon.

For a heptagon, n = 7, so we have:

S = (7 - 2) × 180°

S = 5 × 180°

S = 900°

Therefore, the sum of the measures of the interior angles of the given heptagon is 900°, which is answer choice B.

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Jake buys an oven and discovers that its temperature can vary out to 2.5 Fahrenheit from his settings. If Jake set the temperature to 345 Fahrenheit to bake a cake, from an inequality to represent the possible temperatures of the oven, tea, and degrees Fahrenheit. Then determine the range of possible temperatures when the oven is set at 345 Fahrenheit. Select a correct any quality and range on the table

Answers

Answer:

Answer in the image

(First correct will get brainiest) Find AC

Answers

Answer:

thie dissrespect man or woman

Step-by-step explanation:

add 13 + 26 = 39

Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31

Answers

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

this is the question I need help with​

Answers

Answer:

brainllest if right

b

Step-by-step explanation:

The answer is A

Explanation: 9-(-12) is equal to positive 21.

12+9 is equal to positive 21.

find x answer fast please

Answers

Answer:

x=20

Step-by-step explanation:

Since AB is a line it forms 180,

Set your formula up as

180=60+4x+40

180-60-40=4x

80=4x

80/4=x

20

If 8n = -40, then n =​

Answers

Answer:

n=-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

8n=-40

n=-40/8

n=-5

Given complex numbers z^1= 12 + 6i and 2=-8+ 2i, find z^1+ z^2.

a.20 +4i
b.-4+4i
c. 10 - 2i
d. 4+8i

Answers

Answer:

answer is a 20+4i

Step-by-step explanation:

PLS HELP ILL MARK AS BRAINLESS

Answers

Answer:

D. The trench has become shallower because -32 is farther from 0 on a number line than -27

Answer: D

Step-by-step explanation: -27 is closer to zero than -32. Since these numbers were negative and the depth of the trench went from -32 to -27, we can assume that the trench had gotten more shallow.

I hope this helps!

Who is the best RB of all time
a. Barry Sanders
B. Walter Payton
C. Emmit Smith
D. Jim Brown

Answers

Answer:

b Walter Payton was rhe beat RB

what is the answer help me pls ASAP

Answers

um try c but i’m just guessing sorry

can someone help me asap pls :)

Answers

Answer:

Step-by-step explanation:

28 and 62 is what to fill both of the boxes with

Consider the transformation f(x) = 1/5 (5^1/2+3) - 6

a) Describe the transformations that are applied to the base function.

b) State the y-intercept.

c) State the equation for the asymptote.

d) State the domain and range.

Answers

The answer is C i think

. Determine f(4.5) for the function f(x) = 3x - 5 *

Answers

Algebra

f(4.5)=8.5

Plug in x as 4.5 and multiply it with 3. Then subtract 5 from the remaining result.

Answer:

f(4.5) = 8.5

Step-by-step explanation:

f(4.5) = 3x - 5

f(4.5) = 3(4.5) - 5

f(4.5) = 13.5 - 5

f(4.5) = 8.5

Hope that helped! You have to substitute x with 4.5 and then solve.

Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?


WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH

Answers

Answer:

12

Step-by-step explanation:

The answer is 12 hope this helps

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tenth.

Answers

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

[tex]d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units[/tex]

how do you find circumstance of a circle using the area? please help!

Answers

Answer:

Step-by-step explanation:

The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation.

Please help me with my work

Answers

321 because you need to use the formula

Answer:

[tex]9600 \: {ft}^{2} \\ [/tex]

Step-by-step explanation:

Area of front rectangle -

= 2 ( length × breadth )

= 2 ( 40 × 30 )

= 2 ( 1200)

[tex] = {2400 \: ft}^{2} \\ [/tex]

Area of other rectangles -

= 4 ( length × breadth )

= 4 ( 60 × 30 )

= 4 ( 1800)

[tex] = 7200 \: {ft}^{2} \\ [/tex]

Surface area of the rectangular prism

[tex] = {2400 \: ft}^{2} + {7200 \: ft}^{2} \\ = {9600 \: ft}^{2} \\ [/tex]

WILL GIVE BRAINLIEST !!!

A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.

Answers

Honestly and respectfully plus honestly
I do not know
All I know what as the hiker doing to find a skull and y did the homie just fine
A random head and just take it home and then decide to study it?
Like I know it’s school but someone wrong with the hiker tbh
Like if he was looking for it
Or was a murder that he did a few years back
You never know
Stay woke.

What is the surface area of this right cone?

Answers

Answer:

Step-by-step explanation:

Slant height s = 12

Radius r = 8

Lateral area of cone = πrs = 96π units²

Base area of cone = πr² 64π units²

Surface area = 96π + 64π = 160π units²

Find (from (3)

f(x) = x^2 - x

Answers

Answer:

I think the answer is 6.......

Find the area of this circle. Use 3.14 for . 84in

Answers

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Question I need to Answer: How many beats can a heart pound in 20 minutes?

Answers

Answer:

1300

Step-by-step explanation:

4 times 5 = 20

260 times 5 = 1300

Answer:

1300 times

Step-by-step explanation:

195 is is 3 X 65 so dividing 195 by 3 gets you 65

65 X 20 = 1300

Which is the domain of the function f(x) =
12
- 2?
Vx+4
O A. x20
O
B. x>-4
o
C. x>-2
D. x>-4
E. all real numbers

Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

The domain of the function is x> -4.

The correct option is B.

We have the function

f(x) = 12/ √(x+ 4) - 2

Now, putting f(x) = 0

12/ √(x+ 4) - 2 = 0

12 -  2√(x+ 4) = 0

-2√(x+ 4) = -12

√(x+ 4) = 6

Taking Square on both side we get

x+ 4 = ±36

x = ± 36 - 4

x = 32 or x= -40

Thus, the domain of the function is x> -4.

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Trigonometry, Law of Cosines.

Select the angle that correctly completes the law of cosines for this triangle.

Answers

Answer:

C. [tex]\displaystyle 74°[/tex]

Step-by-step explanation:

[tex]\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]

In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.

I am joyous to assist you at any time.


Which represents g(x), the translated function?
O g(x) = (x + 4)3 + 6
O g(x) = (x – 4)3 + 6
O g(x) = (x + 6)3 – 4
O g(x) = (x - 6)2 - 4

Answers

Answer:

Im pretty sure its A but not 100% sure-

Step-by-step explanation:

What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?

Answers

Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2

how do I multiply and divided exponent denominator and numerator

Answers

Wassupjhbhbbbbsnd dndbdbbdbdhdbd
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