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Nitella [24]
3 years ago
5

The point (x,y) is first rotated 180 degrees clockwise about the origin, translated 6 units to the left, and then reflected acro

ss the line y=x.
Write a function S to represent the sequence of transformations applied to the point(x,y)

Mathematics
2 answers:
dangina [55]3 years ago
6 0

Answer:

Karen needs to take her pet kitten, Scooter, to the vet for a checkup. It's hard to get Scooter into his carrying case for the trip to the vet. He never wants to go! Scooter's carrying case has a rectangular front that is 11 inches wide and 9 inches tall. The case is 16 inches long. What is the volume of Scooter's carrying case?

Step-by-step explanation:

Assoli18 [71]3 years ago
4 0

Answer:

answer below

Step-by-step explanation:

S (x , y) -> S (-x , -y)     rotated 180 degrees clockwise about the origin

(-x , -y) -> (-x - 6 , -y)    translated 6 units to the left

(-x - 6 , -y) -> (-y , -x-6) reflected across the line y=x

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Area = 42.43 square cm

Step-by-step explanation:

Using Heron's Formula :

 Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where  \ s \ =\ \frac{a+ b+ c}{2}

<em><u>Find Area :</u></em>

<em><u></u></em>

s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15

Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\

      = \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}

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