The area of the triangle above will equal one half of a rectangle that is 5 units long and 6 unites wide.
Answer:
See below.
Step-by-step explanation:
The x - 1 will move whole graph 1 unit to the right.
The 1/2 will stretch it horizontally by a factor 2.
The 2 will stretch it vertically by a factor 2.
The -7 translates it 7 units down.
<h3>Answer:</h3>
2/15
<h3>Explanation:</h3>
There are 8C2 = 28 ways to choose 2 dimes from the 8 dimes in Annie's purse. There are 21C2 = 210 ways to choose 2 coins from the 21 coins in Annie's purse.
Of the 210 ways to choose 2 coins, 28 of the choices will result in 2 dimes being chosen. The probability of choosing 2 dimes is 28/210 = 2/15.
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<em>Comment on nCk</em>
The number of ways to choose k objects from n, when order does not matter, is ...
... n!/(k!(n -k)!)
For the computations above, we have ...
... 8C2 = 8·7/(2·1) = 28
... 21C2 = 21·20/(2·1) = 210
Cheetah ran 300 feet in 2.92 seconds.
Average speed in miles per hour.
Converting 300 feet to mile.
5280 feet = 1 mile
1 feet = (1/5280) mile
300 feet = (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.
2.92 seconds to hour.
3600 seconds = 1 hour
1 second = (1/3600) hour
2.92 seconds = 2.92 * (1/3600) = (2.92/3600) hour.
Speed of Cheetah in miles per hour = (10/176) mile / (2.92/3600) hour
= 70.05 miles/hour
