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DedPeter [7]
3 years ago
15

Which graph shows a dilation?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

The third one.

Explanation:

A dilation is a shrink or a stretch of a figure.  

In a dilation, all sides either increase or decrease by the same scale factor.  Additionally, in a dilation the angle measures of the figure do not change.

In the first figure, we can see that the base angles of the pre-image are slightly different than those of the image.  This is not a dilation.

In the second figure, the angles are noticeably different; again, not a dilation.

In the fourth figure, much like the second figure, the angles are noticeably different.  This is not a dilation.

In the third figure, however, we can see that the slanted sides of the larger figure go through three boxes; they are three units long.  Additionally we can see that the slanted sides of the smaller figure go through 1 side; this is a dilation b a factor of 3.  

The base sides of the third figure, in the larger shape, are 6 units long; in the smaller figure, they are 2 units long.  This is a dilation by a factor of 3.

Roman55 [17]3 years ago
4 0

Answer:

<em><u>THE THIRD OPTION</u></em>

Step-by-step explanation:

I JUST TOOK THE QUIZ!!!!!!

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elixir [45]

Answer:

The equation for the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

And we have to find the equation of the line of reflection of the points.

Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.

Therefore, the equation for the line of reflection will be x = y. (Answer)

4 0
2 years ago
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When x=4 what is the value of 8x
Naddik [55]
8*4=32 :) I hope this helps!
5 0
3 years ago
Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have x^2+0x-5=0

x^2-5=0

x^2=5

x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

8 0
3 years ago
Find the surface area of a cylinder with a diameter of 18 and a height of 32. Use 3.14 for π. Round your answer to the nearest t
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Answer: a = 2,315.5

Step-by-step explanation:

a = 2πrh+2πr²

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a = 2π x 288 + 2π x 81

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a = 2,315.5

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7 0
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d1i1m1o1n [39]
Each side of a triangle has to be shorter than the sum of the other 2. The only possible answer is b: 3,5,7   (7<5+3)
4 0
3 years ago
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