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Sholpan [36]
3 years ago
5

In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after

the series of transformations? 1. Translate (x, y) → (x + 1, y + 2) 2. R (origin, 90° clockwise) 3. Translate (x, y) → (x + 2, y - 3)
Mathematics
1 answer:
ASHA 777 [7]3 years ago
3 0

Answer:

Step-by-step explanation:

1. Translate (x, y) → (x + 1, y + 2)

The x coordinate will be translated 1 units horizontally and the y coordinate will be translated up 2 units vertically but they are still locate in the 1st quadrant

2. R (origin, 90° clockwise)

It still locate in the 1st quadrant because after rotating it will create an angle 90°

3. Translate (x, y) → (x + 2, y - 3)

The x coordinate will be translated 2 units horizontally but the the y coordinate will be translated down 3 units vertically, so:

-  It will remain in the first quadrant.

- There is no size of the triangle will change.

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Answer:

All real numbers Interval Notation: (-∞,∞)

Step-by-step explanation:

Any value of n makes the inequality true.

Hope this helps.

8 0
3 years ago
2 us cities with names that have references to something circular
blagie [28]

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Florida

Step-by-step explanation:

Because it is a peninsula

6 0
3 years ago
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Enter an expression which would represent the simplified form of 4x + 8 subtracted from 2x - 10?
Ksju [112]

Answer:

2x - 2

Step-by-step explanation:

Move the numbers to be near their mates

4x - 2x + 8 - 10

Then solve as much as you can

4x - 2 = 2x, 8 - 10 = -2

<u>2x - 2</u>

8 0
2 years ago
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Anon25 [30]

Answer:

A) 40

B) 20

Step-by-step explanation:

By <em>Length · Width · Height</em>

A)  (5) · (4) · (2) = 40

For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.

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3 0
2 years ago
If cos x=8/17, and 270° &lt; x &lt; 360°<br> what is cos(2x)?
svp [43]

Answer:  \bold{-\dfrac{161}{289}}

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

Given: cos x = \dfrac{8}{17}, x is in Quadrant 4

Use Pythagorean Theorem to find sin x:

8² + y² = 17²    

      y² = 17² - 8²

      y² = 289 - 64

      y² = 225

      y = 15

→    sin x = -\dfrac{15}{17}

Use the double angle formula to find cos (2x):

cos (2x) = cos^2 x - sin^2 x\\\\.\qquad=\bigg(\dfrac{8}{17}\bigg)^2-\bigg(-\dfrac{15}{17}\bigg)^2\\\\\\.\qquad=\dfrac{64}{289}-\dfrac{225}{289}\\\\\\.\qquad=-\dfrac{161}{289}

             

8 0
3 years ago
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