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Marrrta [24]
3 years ago
5

Polygon ABCD is dilated by a scale factor of 1.5 with point A as the center of dilation, resulting in the image A'B'C'D'. If the

length of is 4.5 units, which sentence about is true?
Choices are in the attachment.

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0
The correct answer among the choices provided is the third option. The length of the line C'D' is 6.75 units but it does not pass through A. The first step is to multiply 4.5 with the scale factor which is 1.5. 6.75 is the product and the answer of the problem.
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Given the graph below, find the slope. <br><br> A. -3/2<br> B.3/2<br> C -2/3<br> D. 2/3
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RoseWind [281]

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HELP WILL GIVE BRAINLIEST
nadezda [96]

Answer:

\frac{x^{2} }{1} +\frac{y^{2} }{2}=1

Step-by-step explanation:

The directrices of an ellipse are defined by

x=(+-)\frac{a}{e}

Where a >b, and e is the eccentricity defined by e=\frac{c}{a}

So, in the first choice, we have the equation

\frac{x^{2} }{4}+\frac{y^{2} }{1} =1

Where a^{2}=4 and b^{2}=1, which means a=2 and b=1.

In an ellipse, we have the relation

c^{2}=a^{2}-b^{2}

Replacing values, we have

c^{2} =4-1=3\\c=\sqrt{3}

So, the eccentricity is e=\frac{\sqrt{3} }{2} and the directrices are x=(+-)\frac{2}{\sqrt{3} }, which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.

Therefore, the right answer is

\frac{x^{2} }{1} +\frac{y^{2} }{2}=1

3 0
4 years ago
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