If you flip a penny, nickel, dime, and quarter, how many ways can you get exactly 2 tails?
1 answer:
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Answer:
- 0
- 1
- an infinite number
Step-by-step explanation:
<u>Case 1</u>
The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.
<u>Case 2</u>
The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)
<u>Case 3</u>
There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.
Answer:
17
Step-by-step explanation:
According to the Pythagorean theorem, , where a and b are the two legs of a right triangle, and c is the hypotenuse. In this scenario, the two legs are 8 and 15, and we are asked to find the hypotenuse. Plugging the two values in, we have
, where 64 is 8 squared and 225 is 15 squared. Adding, we have the two values as 289. If you don't know your squares, I suggest you take a look at a list or even memorize your squares until 30, but 289 is actually 17 squared. If
, then c =
, which is 17.