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nexus9112 [7]
3 years ago
12

What is not a congruence transformation

Mathematics
1 answer:
vodka [1.7K]3 years ago
7 0

Hi there!


There are four different types of transformations:

-Reflections

-Translations

-Rotations

-Dilations


In a reflection, the shape is simply reflected across a line of reflection. It does not change size or shape, so therefore it is a congruence transformation.


In a translation, the shape is moved up, down, left, or right. It does not change size or shape, so therefore it is a congruence transformation.


In a rotation, the shape is rotated around a point of rotation. It does not change size or shape, so therefore it is a congruence transformation.


In a dilation, the shape is made larger or smaller by a scale factor. It does change size, so therefore it is not a congruence transformation.


The transformation that is not a congruence transformation is a DILATION.


Hope this helps!! :)

If there's anything else that I can help you with, please let me know!

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Now:

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And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
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since they are parallel then 2x+6=106

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then divide each since by 2

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Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1.

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

x_1 + x_2 = \frac{-b}{a}

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

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These relations between the solutions give us a brief idea of what the solutions should be like.

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I agreed Angle 4 and 12 is the right answer
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Check
a² + b² = c²
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