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nlexa [21]
3 years ago
14

Does anyone happen to know how to solve this?​

Mathematics
1 answer:
irina1246 [14]3 years ago
5 0

P^{'} = (2, -2) after translation from P.

Step-by-step explanation:

Step 1:

The point P is at (-7, 1) on a graph. The point is translated on the graph according to T (x, y) = (x+9, y-3).

The coordinates of point P are increased by 9 units along the x-axis while they are decreased by 3 units along the y-axis.

Step 2:

The x-axis coordinate of point P = -7.

The x-axis coordinate of point P^{'} = -7 + 9 = 2.

The y-axis coordinate of point P = 1,

The y-axis coordinate of point P^{'} = 1 - 3 = -2.

So the coordinate of point P^{'} is (2, -2).

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If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
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Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

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All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

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Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9
5 0
2 years ago
How many times do 2 goes into 19
ser-zykov [4K]
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***
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