Answer:
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
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Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
<em>B</em>[7, 10] <em>A</em>[13, 2]
![\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-2%20%2B%2010%5D%5E%7B2%7D%20%2B%20%5B-13%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{8^{2} + [-6]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B8%5E%7B2%7D%20%2B%20%5B-6%5D%5E%7B2%7D%7D%20%3D%20D)
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
Step-by-step explanation:
After you find the sums for each set, make a list, counting the number of ways a sum can occur.
You'll notice that for Set A, sums of 5, 6, 7, 8, and 9 all appear 4 times. So they have equal probabilities. In Set B, a sum of 7 appears 6 times. Sums smaller or larger than 7 are less common.
When we look at the data, we see that were more sums of 7 than any other sum. So this data was probably from Set B.
Answer:
G = 46 degrees
Step-by-step explanation:
Here, we want to find the measure of angle G
Mathematically, as we can see, what we have is a right triangle
For a right triangle , the sum of angles is 90 degrees
Thus, if we add the two internal angles, we get 90 degrees
Hence;
44 + G = 90
G = 90-44
G = 46 degrees
Answer:
1/169
Step-by-step explanation:
The probability of drawing a 3 in a 52 card deck is 4/52 which can be simplified to 1/13.
The probability of then drawing a jack is 4/52, also simplified to 1/13. It doesn't matter of you want to put jack or 3 first, there are 4 of each in a deck.
1/13*1/13=1/169
i would use TIBO:
*top in bottom out*
a/b (a over b form)
you divide the numerator (a) from the denominator (b)
and example is 5/10 if you use TIBO you should get 0.5
hope it helps!
