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3 years ago

Is it possible for the area of a figure to change after it is translated? Explain.

2 answers:

8 0

It is not possible for the area to change with a translation because translations are simply movements. They are not changing anything about the object's form, like something such as scaling does.

Sonja [21]3 years ago

8 0

Answer with explanation:

Translation means moving a geometrical shape in either direction in a coordinate plane without changing the shape and size of the geometrical object.

As, the coordinates of vertices of geometrical shape is translated in such a way that, The preimage and Image remains Congruent.

And, Congruent Shapes has equal Area.

So, it is Impossible for the area of a figure to change after it is translated.

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Help me with this?<br> ______________

Simora [160]

Answer:

Austin will have to buy 180 squares of carpeting.

Step-by-step explanation:

First find the dimension of the room. We do that by multiplying the width times the length and then subtracting the cut out region in the top right. And, in order to know how big that region we cut out is, we have to do a little subtraction.

We know the room is 18' long on the left side and 12' long on the right side. We subtract 12 from 18 to get 6, and we know that the cut out region is 6' long. We do the same thing with the width, 25' wide at the bottom minus 10' wide at the top and we see that the cut out is 15' wide.

18 x 25 = 450

6 x 15 = 90

450 - 90 = 360. The area of the room is 360 $ft^{2}$

Each piece of carpet is 2' by 1'. So for every 2' long, the piece of carpet is 1' wide. Each carpet piece will cover 2 $ft^{2}$ . Divide 360 by 2 and you get 180.

5 0

2 years ago

2 1/2r + 1 + 2r = 9 1/10

GalinKa [24]

This should help you here are the steps of your problem :)

2*(1/2)*r+2*r+1 = 9*(1/10) // - 9*(1/10)

2*(1/2)*r+2*r-(9*(1/10))+1 = 0

2*(1/2)*r+2*r-9/10+1 = 0

3*r+1/10 = 0 // - 1/10

3*r = -1/10 // : 3

r = -1/10/3

r = -1/30

So your answer would be 1/30

4 0

3 years ago

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive

alekssr [168]

It is simple
you do 45,600 divided by 22
which equals about 2,072.72

8 0

3 years ago

Find roots of the equation and state the multiplicity

olya-2409 [2.1K]

$({x + 2})^{3} = {x}^{3} + 6 {x}^{2} + 12x + 8$
so the answer is
$x = - 2$

7 0

2 years ago

PLEASE HELP! 8 POINTS!! Find the value

Pepsi [2]

Answer:

-sqrt(3)/2

Step-by-step explanation:

Use double angle identity for sin(2x)

sin(2x)=2sin(x)cos(x)

We are given sin(x)=-1/2 so we already have so far that:

sin(2x)=2(-1/2)cos(x)

sin(2x)=-1*cos(x)

We just need to find cos(x).

x is in the fourth quadrant so cosine will be positive there

knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.

So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2

5 0

2 years ago