So.. if we take the numerator to be say "a", then the denominator will be "a+3"
either of those two fractions will do
either of those two fractions will do
Find the arc length of the partial circle.
2 answers:
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Remark
The very easiest way to do this is by substitution. The ys are isolated on the left. When you equate what's on the right, you can solve this for 1 variable, the xs.
Substitute and solve
8x - 9 = 4x -1 Subtract 4x from both sides.
8x - 4x - 9 = - 1
4x - 9 = - 1 Add 9 to both sides.
4x = - 1 + 9
4x = 8 Divide by 4
x = 8/4
x = 2
Solve for y
Use either equation to solve for y.
y = 4x - 1
y = 4(2) - 1
y = 8 - 1
y = 7
Answer
The equations intersect at (2,7)
Part B
See the graph below. Notice the intersect point.
The very easiest way to do this is by substitution. The ys are isolated on the left. When you equate what's on the right, you can solve this for 1 variable, the xs.
Substitute and solve
8x - 9 = 4x -1 Subtract 4x from both sides.
8x - 4x - 9 = - 1
4x - 9 = - 1 Add 9 to both sides.
4x = - 1 + 9
4x = 8 Divide by 4
x = 8/4
x = 2
Solve for y
Use either equation to solve for y.
y = 4x - 1
y = 4(2) - 1
y = 8 - 1
y = 7
Answer
The equations intersect at (2,7)
Part B
See the graph below. Notice the intersect point.