Answer:
15 miles
Step-by-step explanation:
Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).
Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = 
Thus, the answer is 15 miles.
Hope this helps!
Answer:
Tax is 9.76 total cost is 131.74
Step-by-step explanation:
40.66 x 3= 121.98
121.98 x .08= 9.76
121.98+9.76= 131.74
dy/dx = 8(8x - 5)(4x² - 5x )^ 7
differentiate using the ' chain rule '
dy/dx = 8(4x² - 5x)^ 7 × d/dx (4x² - 5x)
= 8(4x² - 5x)^ 7 × (8x - 5)
= 8(8x - 5)(4x² - 5x)
Answer:
Point B is at (3,3)
Step-by-step explanation:
the mid point is (2,5) and A is at (1,7)
first find the slope:
y1 - y2/x1 - x2
7 - 5/1 - 2
2/-1
-2/1
then go down 2 units and right 1 unit from (2,5):
(2 + 1, 5 - 2) => (3,3)