Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster
Answer:
For each payment made, the amount left decreases by $150.
Step-by-step explanation:
The sequence of numbers in the "Amount Left" column has a common difference of -150. This means the amount left decreases by $150 for each payment made.
Using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>
<h3>What is the Midpoint Formula?</h3>
- Midpoint formula is given as,

Thus, given that:
- M is the midpoint of PQ.
- M (-4, 7)
- P (2, 13).
Therefore:

Solve for x-coordinate of P:
-4 = 1/2(2 + x1)
2(-4) = 2 + x1
-8 = 2 + x1
-8 - 2 = x1
x1 = -10
Solve for y-coordinate of P:
7 = 1/2(13 + y1)
14 = 13 + y1
y1 = 1
Therefore, using the midpoint formula, the coordinates of Q are: <em>A. (-10, 1)</em>
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Learn more about the midpoint formula on:
brainly.com/question/88621
Answer: 2xy
Step-by-step explanation: We know that x%5E2+%2B+y%5E2 must be the longest side of the triangle (it cannot be 2xy, I will demonstrate why afterwards). By the Pythagorean theorem,
. Therefore this is a right triangle.
The only "assumption" we had to make was that x%5E2+%2B+y%5E2+%3E+2xy, but this is easy to prove. By the AM-GM inequality, %28x%5E2+%2B+y%5E2%29%2F2+%3E=+sqrt%28x%5E2y%5E2%29+=+xy. Multiplying both sides by 2, x%5E2+%2B+y%5E2+%3E=+2xy. Equality occurs only when x+=+y, but this cannot be true, so x%5E2+%2B+y%5E2 is strictly greater than 2xy.