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ankoles [38]
3 years ago
14

What is the scale factor of the dilation?

Mathematics
2 answers:
Ket [755]3 years ago
6 0

Answer:

The scale factor of the dilation is 3.

Step-by-step explanation:

The scale factor of the dilation is

k=\frac{\text{Side of image}}{\text{Corresponding side of preimage}}

k=\frac{A'B'}{AB}             ... (1)

From the given figure it is clear that the coordinates of A' and B' are (3,15) and (12,15).

Using distance formula we get

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

A'B'=\sqrt{(12-3)^2+(15-15)^2}=9

The coordinates of A and B are (1,5) and (4,5).

AB=\sqrt{(4-1)^2+(5-5)^2}=3

Substitute A'B'=9 and AB=3 in equation (1).

k=\frac{9}{3}

k=3

Therefore the scale factor of the dilation is 3.

wel3 years ago
4 0

Answer:

3

Step-by-step explanation:

D(1 , 1) to D'(3, 3)

so x (1 x 3)= 3

    y (1 x 3) = 3

SF = 3

D(1 , 5) to D'(3, 15)

so x (1 x 3)= 3

    y (5 x 3 ) = 15

SF = 3

Same on coordinate points B to B' and C to C'

so SF = 3

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The graph represents two complex numbers, z1 and z2, as solid line vectors. Which points represent their complex conjugates?
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Point <em>A</em> represents the complex conjugate z₁ and point L represents the complex conjugate of z₂ respectively

The complex conjugate of a complex number is a complex number that having equal magnitude in the real and imaginary part as the complex number to which it is a conjugate, but the imaginary part of the complex conjugate has an opposite sign to the original complex number

Therefore, graphically, the complex conjugate is a reflection of the original complex number across the x-axis because the transformation for a reflection of the point (x, y) across the x-axis is given as follows;

Preimage (x, y) reflected across the <em>x</em> axis give the image (x, -y)

Where in a complex number, we have;

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The reflection of z₁ across the x-axis gives the point <em>A</em>, while the reflection of z₂ across the x-axis gives the point <em>L</em>

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brainly.com/question/20365080

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