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wariber [46]
3 years ago
12

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

Mathematics
2 answers:
gulaghasi [49]3 years ago
4 0
This equation is an example of a Limacon with inner loop. By using the symmetry tests where:

POLAR AXIS/HORIZONTAL:
replace a) θ by -θ, b) r by -r and θ by π-<span>θ

VERTICAL AXIS:
replace a) </span>θ by π-θ, b) r by -r and θ by -<span>θ

POLE:
replace a) </span>θ by π+<span>θ, b) r by -r 

If any of these rules, after replacing it in the equation, results to the original equation (making it the equivalent) then it is symmetrical to that axis. 

In this case, it is only symmetrical about the polar/horizontal axis. </span>
siniylev [52]3 years ago
4 0

Answer:

x-axis only

Step-by-step explanation:

Look at the graph

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6 0
3 years ago
What is 25 squared? Please show work.
iragen [17]
25 squared is just 25 times 25 which equal 625
6 0
3 years ago
Read 2 more answers
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to
djyliett [7]

Answer:

<em>5.5</em>

Step-by-step explanation:

Given the set of data

5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

The average of the least and the greatest value is known as the midrange

The formula for calculating the midrange is expressed as shown:

Midrange = (Greatest value + Least value)/2

Given

Greatest value = 10

Least value = 1

Midrange = 10+1/2

Midrange = 11/2

Midrange = 5.5

<em>Hence the midrange of the data is 5.5</em>

8 0
3 years ago
Jordan saved 4/5 of the amount he needs to buy a $80 video game. If he earns $7.75 per hour by working at a pizza shop, how many
Aleksandr [31]
Amount of money saved by Jordon for the video game = (4/5) * 80
                                                                                        = 4 * 16 dollars
                                                                                         = 64 dollars
So
The amount of money that
Jordan needs to earn more for buying the video game = (80 - 64) dollars
                                                                                       = 16 dollars
Amount earned by Jordan per hour working at a pizza shop = $7.75
Let us assume the number of hours Jordan needs to work to save the rest of the money for the video game = x
Then
7.75x = 16
x = 16/7.75
   =  2.06 hours
So it can be said that Jordan has to work 3 hours to save the rest of the money for the video game. If Jordan works 2 hours then he will be short of the required amount. If Jordan works for 3 hours he will have some excess amount in his hand after saving for the video game.
7 0
3 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
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