Arc length = r θ =(3.9/2)*6.7 = 13.065 m.
Note: This arc angle is over 2 π , meaning that it will more than wrap around the circle.
The equation given above is,
3x - 4y = 2
This can be expressed in slope-intercept form by transposing y to one side of the equation,
y = (2 - 3x) / -4
Simplifying,
y = 3x/4 - 1/2
The equations will form a system with no solution only if they have the same slope but different y-intercept.
(1) 2y = 1.5x - 2
y = 3x/4 - 1
Since this has the same slope as the given equation but different intercept then, this is one of the answers.
(2) 2y = 1.5x - 1
y = 3x/4 - 0.5
This is exactly the same as the given equation then, the equations will have infinite number of solutions.
(3) 3x + 4y = 2
4y = (2 - 3x)
y = -3x/4 - 1/2
The equations do not have the same slope so, this is not one of the answers.
(4) -4y + 3x = -2
y = (-3x - 2) / -4
y = 3x/4 - 1/2
This equation is also exactly as that which is given. Hence, they will have infinite number of solutions.
Please insert a picture for context
