Answer:
x is equal to 16
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Subtract 7 from both sides of the equation
Simplify it
Subtract 3
from both sides of the equation
Simplify
Multiply all terms by the same value to eliminate fraction denominators
Simplify
Subtract 2 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify!
That's it!
Answer:
1 solution
Step-by-step explanation:
The lines intersect 1 time
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:
brainly.com/question/14289251
#SPJ4
Answer:
Perpendicular
<em />
Step-by-step explanation:
Given




Required
Is AB and CD parallel?
First, we need to calculate the slope (m) of AB and CD

For AB:


So:





For CD:


So:




For Lines to be parallel, the slope must be equal:
i.e. 
This condition is not true because:

For Lines to be perpendicular, the slope must be:

This implies:



<em>Hence, the lines are perpendicular</em>