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Anika [276]
3 years ago
10

Point A(-58) is reflected across the line y = x. What are the coordinates of A? Show your work and explain

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:

  A'(8, -5)

Step-by-step explanation:

Reflection across the line y=x can be written as the transformation ...

  (x, y) ⇒ (y, x) . . . . . . swap the values of x and y

Then point A(-5, 8) will be reflected to ...

  A' = (8, -5)

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What is the median for the set of data? 6, 7, 10, 12, 12, 13
elixir [45]

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

6 0
2 years ago
Read 2 more answers
A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5
boyakko [2]

Additional information to complete the question:

How long does it take for a short pulse of light to travel from one end of the glass to the other?

Express your answer in terms of some or all of the variables f and L. Use the numeric value given for n in the introduction.

T = ___________ s

Answer:

 T = \frac{15}{f}

Step-by-step explanation:

Given:

Thickness og glass = L

Index of refraction n=1.5

Frequency = f

Wavelength = \frac{L}{10}

λ(air) = \frac{L}{10}

λ(glass) = λ(air) / n

             = \frac{\frac{L}{10}}{1.5}

             = \frac{L}{10} * \frac{1}{1.5}

             = \frac{L}{15}

V(glass) = fλ(glass)

              = f * \frac{L}{15}

          T = \frac{L}{V_{glass}} = \frac{15}{f}

     

7 0
3 years ago
Let's Check In
crimeas [40]

Answer:

I need more info about the shape were making but I think C is the answer.

Step-by-step explanation:

I'll be honest Im confused. Im going to assume  your finding the third side of triangle and if so here is my answer.

Side GH must be between 3.5 and 23.1 not inclusive because 13.3+9.8= 23.1 and that would be the length if the line is a straight line, and the minimum is 13.3-9.8= 3.5 and that is only if the lines overlap. That only leaves C as the answer within the range.

8 0
3 years ago
By which angle must AB turn about point A in the clockwise direction so that it coincides with AE ? A. 90° B. 180° C. 270° D. 36
dmitriy555 [2]

Answer:

B. 180°

Step-by-step explanation:

Rotate AB 180 degrees in the clockwise direction.

5 0
3 years ago
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