Answer: Sig Figs 5
Step-by-step explanation:
16x^2 -1 = 0
16x^2 = 1
x^2 = 1/16
x= 1/4
The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is
which is an ellipse.
For given question,
We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.
We need to convert given parametric equations to a rectangular equation and sketch the curve.
Given parametric equations can be written as,
x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.
We know that the trigonometric identity,
sin²t + cos²t = 1
⇒ (x/2)² + (- y/3)² = 1
⇒ 
This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.
The rectangular equation is 
The graph of the rectangular equation
is as shown below.
Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is
which is an ellipse.
Learn more about the parametric equations here:
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Answer:n=-3.1
Step-by-step explanation:
2n + 3 = -3.2
Subtract 3 on both sides
2n+3-3=-3.2-3
2n=-6.2
Divide 2 on both sides
2n/2=-6.2/2
n=-3.1
Answer:
x=1
Step-by-step explanation:
- choose a side to get rid of so since its easier to take 6 away from seven we will do that but remember what you do to one side you have to do to the other
- so take away 6x from the left that leaves 0 your equation should look like this 4=-3+7x remember that we have to to it to the right side too
- so take 6x away from the 7x on the right side and that leaves 1x so it should look like this 4=-3+1x
- then since it's a -3 you will need to add 3 for it ton equal 0 so it will look like this 4=7x
- but dont for get to do the same to the other side so add 3 to the 4 on the left so it will look like this 7=7x
- then divide by 7 to get x by itself so it will look like this 7=x
- but you aren't done yet you still have to divide the left by 7 so it will look like this 1=x
and thats all there is to it hope this helps