Answer:
The given linear equation are
⇒9x+3y+12=0....eq1
⇒a1
=9,b1
=3,c1
=12
⇒18x+6y+24...eq2
⇒a2
=18,b2
=6,c2
=24
⇒a1/a2
=9/18 =1/2
⇒ b1/b2= 3/6 = 1/2
⇒ c1/c2= 12/24= 1/2
comparing
⇒ a1/a2,b1/b2,c1/c2
⇒ a1/a2=b1/b2=c1/c2
Hence, the line represented by eq1 and eq2 are coincidents
Step-by-step explanation:
Answer:
As the product of the slop of both lines is -1.
Therefore, the given equations are perpendicular.
Step-by-step explanation:
Given the equations
The slope-intercept form of the equation is
where m is the slope and b is the y-intercept.
Writing both equations in the slope-intercept form
So by comparing with the slope-intercept form we can observe that
slope of equation = 3
i.e.
also
So by comparing with the slope-intercept form we can observe that
the slope of equation = -1/3
i.e.
as
The slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
so
The slope 
is the negative reciprocal of the slope 
Also, the product of two perpendicular lines is -1.
i.e.
VERIFICATION:
It is clear that the product of the slop of both lines is -1.
Therefore, the given equations are perpendicular.
The equation for a circle is (x-h)^2 + (y-k)^2 = r^2. Because we have a center and a coordinate, all we have to solve for is the radius. Fill in the equation like this: (3-2)^2 + (4+1)^2 = r^2. That gives us 1^2 + 5^2 = r^2 and 26=r^2. Now we use that squared radius along with the center to complete the equation for the circle: (x-2)^2 + (y+1)^2 = 26 which is #3 above.
4.440 minutes of the ride is spent higher than 37 meters above the ground.
<h3>How to find the time spent on the ride?</h3>
We have to find the amount of time spent by the ride 37 meters above the ground.
We know that 37 meters above the ground is actually one meter above the center.
We can find the angle above the center as shown below:
arcsin(1/34) = 0.0294 radians
Now we have to find the angle of rotation:
The angle of rotation of the Ferris wheel above 37 meters = π - (2*0.0294)
= 3.1 radians
The angular velocity of the Ferris wheel = Angle covered/Time
= 2π/9 rad/min.
Therefore time spent above 37 meters = 3.1*9/2π
= 3.1*9/6.28319
= 4.440 minutes
Therefore, we have found that 4.440 minutes of the ride is spent higher than 37 meters above the ground.
Learn more about the angle of rotation here: brainly.com/question/2078551
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