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Rom4ik [11]
2 years ago
15

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]​

Mathematics
2 answers:
Neporo4naja [7]2 years ago
4 0
The answers are : (alike the box order)
3 - 5
-1 -2
inysia [295]2 years ago
3 0

Answer:

  \left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]

Step-by-step explanation:

Rotation 180° (in either direction) about the origin causes each coordinate to have its sign changed. Effectively, the coordinate matrix is multiplied by -1.

__

<em>Additional comment</em>

This is equivalent to reflection across the origin.

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Write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:
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<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).

1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y = \frac{1}{3}|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
5 0
3 years ago
An urn contain 2 white marbles, 3 green marbles, and 5 red marbles. A marble is drawn and then replaced. Then a second marble is
11111nata11111 [884]

<u>Answer:</u>

1/5

<u>Step-by-step explanation:</u>

To find this you would need to multiply the probability of pulling a white marble to the probability of pulling out a green marble.

1)First you would need the probability of pulling out a white marble. There are 10 marbles in total and out of those 2 are white. So the probability of pulling out a white marble would be 2/10. If you simplify that you would get 1/5 for the probability of pulling out a white marble.

2)Next, you would find the probability of pulling out a green marble. Using the same process that we used to find the probability of pulling out a white marble, we would find the answer to be 3/10. All that we did here was <em>green marbles/total marbles</em>. By filling that in we got 3/10 for the probability of pulling out a green marble.

3)Now all that is left is doing <em>probability of pulling a white marble × probability of pulling out a green marble</em>. This would be 1/5 × 3/10. After solving the answer would be 3/15 which we would simplify down to 1/5 as our final answer.

5 0
3 years ago
54,000 families have incomes less than $20,000 per year. This number of families is 60% of the families that had this income lev
tangare [24]
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4 0
3 years ago
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WARRIOR [948]

Answer:

55.5 B

Step-by-step explanation:

We have the following points of data

48, 49, 50, 51, 54, 55, 56, 58, 60, 62, 63, 63

The median is the data point in the middle (when listed in order)

If we find the middle number we'll see that it's between 55 and 56. When this is the case you find the average of  the two numbers (add them and divide by 2)

(55+56)/2=55.5

3 0
2 years ago
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7 0
2 years ago
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