After earning 300 points on a game show, Katie got to compete in the bonus round. By the end of the bonus round, she had a total
1 answer:
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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!
Make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula
x=
x=
x=
x=
x=
x=
x=
or 
aprox
x=-1.5359 or -8.4641
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula
x=
x=
x=
x=
x=
x=
x=
aprox
x=-1.5359 or -8.4641