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:
<u>150</u>
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as <u>x</u>, <u>3x</u>, and <u>5x</u>
<u />
=============================================================
Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
=============================================================
Largest number :
⇒ 5x
⇒ 5(30)
⇒ <u>150</u>
If you have 50. and want to make it 5000 you can move the decimals point over 2 which would also be ×100
Answer:
Step-by-step explanation:
<u>Solving in steps</u>
- 7^-1/7^2 =
- 7^-1 × 7^-2 =
- 7^(-1 - 2) =
- 7^-3