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riadik2000 [5.3K]
4 years ago
12

What are the coordinates of T′ for the transformation (T(–3, 1)° D4 )(ΔTUV) of T(–7, –6), U(–8, 3), and V(2, 1)?

Mathematics
1 answer:
Gekata [30.6K]4 years ago
3 0

Answer:

T'=(-31,-23)

Step-by-step explanation:

1. Since this is a Dilation with a scale factor of 4 (D4) let's plot the triangle TUV.

Check the picture 1

2. The Center of Dilation of this transformation is at the center. But the transformation is given by a scale factor of 4 and adding to (-3,1)

So,

T'= 4(-7,-6) +(-3,1)=(-28,-24)+(-3,1) \therefore T'=(-31,-23)\\U'=4(-8,3)+(-3,1)=(-32,12)+(-3,1) \therefore U'=(-35,13)\\V'=4(2,1) +(-3,1)=(8,4)+(-3,1) \therefore V'= (5,5)

3. Back to the graph to visualize this transformation a Dilation, an enlargement and the transformation combined.

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Nadusha1986 [10]
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3 years ago
Given the four digits 2, 4, 6, and 7, how many different positive two-digit integers can be formed using these digits if a digit
Mekhanik [1.2K]

Answer: 12

Step-by-step explanation:

Given the question :

Given the four digits 2, 4, 6, and 7, how many different positive two-digit integers can be formed using these digits if a digit may not be repeated in an integer?

The number of different positive two integer number can be obtained by:

P(4, 2) = 4P2

Recall:

nPr = n! / (n - r)!

4P2 = 4! / (4 - 2)!

4P2 = 4! / 2!

4P2 = (4 * 3 * 2 * 1) / ( 2 * 1)

4P2 = 24 / 2

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Hence, 12 different positive two-digit integers can be formed using these digits if a digit may not be repeated in an integer

7 0
3 years ago
The product of 4 and t is add to1
Alex Ar [27]

Answer:

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Step-by-step explanation:

Branliest plz

5 0
3 years ago
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Nataly [62]
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7 0
3 years ago
a piece of rope 33ft long, cut into two pieces so that one piece is half the length of the other, how long is each piece of rope
s344n2d4d5 [400]
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Hope this helps!
4 0
4 years ago
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