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Mashcka [7]
3 years ago
15

Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6

cos t y=-2+6sin t
Mathematics
1 answer:
xenn [34]3 years ago
5 0

What are the advantages of the parametric equations

Answer:

Step-by-step explanation:

Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.

From  the question given; the advantages of parametric equations  given

x = 1 + 6 cos t

y= -2 + 6 sin t

are :

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations  have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic

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Solve for y , what is 9x+3y=4 ??
lora16 [44]
To solve for y, isolate the variable to one side.
 9x+3y=4
-9x      -9x
~~~~~~~~
3y= -9x+4
~~~~~~~~
3y= -9x+4 (Divide both sides by 3)

y=-3x+4
4 0
3 years ago
Which equation models a line that passes through point (-2,2) And has a slope of -8
trasher [3.6K]

So we will be using y=mx+b form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.


2=-8(-2)+b


Firstly, do the multiplication: 2=16+b


Next, subtract 16 on both sides, and your answer will be -14 = b



Using the previous info we have, our equation is y = -8x - 14

8 0
3 years ago
2/3(3/5x+9)=1/2(2x+40)<br><br> I posted this before but w/o the 1/2 on accident
andriy [413]
The answer and working are shown in the photo below
5 0
3 years ago
Use the circle graph to determine how many hours per day Becky spends on each activity.
Oduvanchick [21]
404 error: graph not found

anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours

all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity


percent means parts out of 100 so x%=x/100


so we have
School
Eating
Sleep
Homework
Free Time

School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours


Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours


Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours


Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours


Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours

Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours


3 0
3 years ago
Find the percent increase from 200 to 240
vlabodo [156]

Answer:

  20%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(reference value) -1) × 100%

  = (240/200 -1) × 100%

  = 0.20 × 100%

  = 20%

240 is an increase of 20% from 200.

3 0
3 years ago
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