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prisoha [69]
3 years ago
15

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle

FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D
Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

c. 5 units left and 3 units up

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.

If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)

The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up

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Two towns, Ancaster and Dundas, are 4 km and 6 km, respectively, from an old railroad line that has been made into a bike trail.
serg [7]
Okay, so first you draw a picture and let x be the distance from point D to the rest stop. Then the distance from point  to the rest stop is  8 - x

You know that the length of the new trail is y + z, where y is the distance from Ancaster to the rest stop and z is the distance from Dundas to the rest stop. 

Now by the Pythagorean theorem,  y^2 = 4^2 + x^2 and  z^2 = 6^2 + (8 - x) ^2

So take square roots of these, add them, and minimize. 

Note: I am assuming the path is perfectly straight, otherwise this approach fails.
8 0
3 years ago
Use two unit multipliers to convert 15000 square centimeters to square meters
Arte-miy333 [17]
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Could someone please help me
labwork [276]
The 2nd one is D I think
8 0
3 years ago
UNSER
Neko [114]

Answer:

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6 0
3 years ago
14129 Marks
11Alexandr11 [23.1K]

Answer:

1. The probability that the T-shirt will be grey :-

=》

\frac{2}{20}

=》

\frac{1}{10}

=》

0.1

hence, the probability of grey t-shirt is 0.1

2. The probability that the T-shirt will not be red :-

=》

1 -  \frac{4}{20}

=》

1 -  \frac{2}{10}

=》

1 - 0.2

=》

0.8

The probability that the T-shirt will not be red is

0.8

3. He takes one of his blue T-shirts at random.

What is the probability that the T-shirt is light blue

total blue t-shirts = 5

so, the probability of choosing light blue t-shirt is

=》

\frac{1}{5}

=》

\frac{2}{10}

=》

0.2

hence, the probability of choosing light blue t-shirt is 0.2

3 0
3 years ago
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