<span>If you're given 3 side measurements, there's a quick way to determine if those three sides can form a <span>triangle
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False they will be parrallel and never meet
(3 + 4i)(4 - 3i)
3(4 - 3i) + 4i(4 - 3i)
3(4) - 3(3i) + 4i(4) - 4i(3i)
12 - 9i + 16i - 12i^2
12 + 7i - 12(-1)
12 + 7i + 12
12 + 12 + 7i
24 + 7i
Draw a diagram to illustrate the problem as shown below.
Let v = speed of the westbound car, mph
Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.
After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph
The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph
Answer: The eastbound car travels at 54 mph.
It is given that the bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. Thus, there are four colors of cards. So, in randomly a card there are just four possible outcomes. The outcomes are:
1. A Blue Card
2. A Green Card
3. A Red Card
4. A Yellow Card
Their probabilities of occurrence will differ but it is a fact that there will be just four possible outcomes.