Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ± ) / 2a
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
= ( - 14 ± ) / 2
x = or x =
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
So if you're driving 25 miles per hour, it would take you 7 hours to drive 175 miles.
175 miles ÷ 25 miles = 7 hours.
A. fixed costs of 18,000 and then 40 per canoe
c(x) = 18000 +40x
B) sell price is 160 per canoe, so r(x) = 160x
C) break even, set both a and b equal to each other and solve for x
18000 + 40x = 160x
subtract 40x from each side:
1800 = 120x
divide both sides by 120
x = 18000 / 120 = 150 canoes
break even means the money coming in equals the money going out
I believe the answer you may be looking for is 2. x/10.