K + 8 > 24
k > 16
(16, infinity)
(x, y ) = (- 6, 3 )
Since both equations express y in terms of x, we can equate them
2x + 15 = -
x + 1
( add
x to both sides )
x + 15 = 1 ( subtract 15 from both sides )
x = - 14
( multiply both sides by 3 and divide by 7 )
x = ( 3 × - 14 )/7 = - 6
substitute x = - 6 into either of the 2 equations for y- coordinate )
y = ( 2 × - 6 ) + 15 = 3
solution : (x, y ) = ( - 6, 3 )
It looks like the question you are asking is how far will the cart travel after 56 complete revolutions.
To answer this you will use the distance it will travel in 1 revolution (2690.28 m) and multiply it by 56.
2690.28 x 56 = 15655.68 meters or about 15.66 km.
There are 15 sixteenths in 15/16ths (think about it like decimals.)