Answer:
-4 5/12
Step-by-step explanation:
-23/3 + (-11/2) + 35/4
<em>Find a common denominator (12).</em>
-92/12 + (-66/12) + 105/12
<em>Reform the equation to have this as a single fraction.</em>
(-92 + (-66) + 105)/12
<em>Subtract 66 from -92 to get -158.</em>
(-158 + 105)/12
<em>Add 105 to -158 to get -53.</em>
-53/12
<em>Convert into a mixed number by dividing by 12.</em>
-4 5/12 (Choice A) is your answer.
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:
XZ
Step-by-step explanation:
X and Z are points so that makes 2 endpoints, and a line segment