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2 years ago

A pre-image and its image under a translation have the same orientation?

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

8 0

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

In addition, the corresponding segment sides of the pre-image and image are parallel.

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Solve the System and write the solution as an ordered pair. <br><br> 3x+3y=6 <br> 5x-6y=15

Ugo [173]

$\\ \sf\longmapsto 3x+3y=6\dots(1)$

$\\ \sf\longmapsto 5x-6y=15\dots(2)$

Multiply eq(1) by 2 and eq(2) by 1

$\\ \sf\longmapsto 6x+6y=12$

$\\ \sf\longmapsto 5x-6y=15$

$\\ \sf\longmapsto 11x=27$

$\\ \sf\longmapsto x=\dfrac{27}{11}$

Now

Put in eq(1)

$\\ \sf\longmapsto 3\dfrac{27}{11}+3y=6$

$\\ \sf\longmapsto \dfrac{81}{11}+3y=6$

$\\ \sf\longmapsto 3y=6-\dfrac{81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{66-81}{11}$

$\\ \sf\longmapsto 3y=\dfrac{15}{11}$

$\\ \sf\longmapsto y=\dfrac{15}{33}$

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2 years ago

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Which of the following sets of ordered pairs is a function?

Ulleksa [173]

Answer:

(1,5) (2,6) (3,7) (4,8)

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2 years ago

The path of a firework launches into the sky is the model by the graph which statement describes the activity of the firework th

Aliun [14]

At 3 seconds, the firework is at a height of 150 feet

Answer is C. third option

The firework is at a height of 150 feet

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2 years ago

HELP PLEASE!! 30 POINTS!!

agasfer [191]

Your answer is A
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3 years ago

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Complete the point slope equation of the line through (-5, 7) and (-4, 0).

IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

$(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7$

Thus, the equation is of the form:

$y = -7x + b$

We substitute one of the points and find "b":

$0 = -7 (-4) + b\\0 = 28 + b\\b = -28$

Finally, the equation is:

$y = -7x-28$

Answer:

$y = -7x-28$

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3 years ago