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blagie [28]
1 year ago
15

What is the name of the shape graphed by the function r = 2 cose? O A. Limaçon with inner loop O B. Lemniscate O C. Line O D. Ci

rcle SUBMI
Mathematics
1 answer:
scZoUnD [109]1 year ago
8 0

To understand the function better, let's convert it from polar coordinates to cartesian coordinates. The relation between those coordinates are

\begin{cases}x=r\cos \theta \\ y=r\sin \theta\end{cases}

Our function is

r=2\cos \theta

If we multiply both sides by r, we have

r^2=2r\cos \theta

The square of the radius is equal to the sum of the squares of the cartesian coordinates

x^2+y^2=r^2

Using this identity, we can rewrite our function as

x^2+y^2=2x

Completing the square, we can rewrite our function as

\begin{gathered} x^2+y^2=2x \\ x^2+y^2-2x=0 \\ x^2-2x+y^2=0 \\ x^2-2x+1-1+y^2=0 \\ (x-1)^2-1+y^2=0 \\ (x-1)^2+y^2=1 \end{gathered}

This is a equation of a circle.

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Pls help and hurry i will report if you answer any unnecessary answers.
sleet_krkn [62]

Answer:

847.8 sq meters

Step-by-step explanation:

Formula:

A= 2πrh + 2πr^2

A= 2(3.14)(9)(6) + 2(3.14)9^2

A= 339.12 + 508.68

A= 847.8

7 0
2 years ago
What is the slope-intercept form of the following equation? What is slope and the y intercept? 8x + 2y = 14
Natalka [10]

Answer:

m

=

4

Step-by-step explanation:

Given -

8

x

−

2

y

=

14

It is in the form

a

x

+

b

y

=

c

If a linear equation is in this form, then -

It slope is

−

a

b

In our case, we shall use this formula

m

=

−

8

−

2

=

4

To find the y-intercept put

x

=

0

8

(

0

)

−

2

y

=

14

−

2

y

=

14

y

=

14

−

2

=

−

7

To find the x-intercept put

y

=

0

8

x

−

2

(

0

)

=

14

8

x

=

14

x

=

14

8

=

7

4

5 0
3 years ago
Read 2 more answers
Which table represents a function
denpristay [2]

Answer:

The first table

Step-by-step explanation: The x values don't repeat which makes it a function

4 0
3 years ago
Rosa is building a guitar. The second fret is 33.641\,\text{mm}33.641mm33, point, 641, start text, m, m, end text from the first
poizon [28]

Answer:

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ok

Step-by-step explanation:

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3 years ago
Akram ed a busniess with rs 70000.After 3months Aslam joined the busniess with rs 40000 and after 6months Asghar also invested r
Crazy boy [7]

Answer:

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