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Lilit [14]
3 years ago
13

Simplify (3/2x+5) + (5/x-5)

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

(3x + 10) / (2x + 5)(x - 5).

Step-by-step explanation:

(3/2x+5) + (5/x-5)

= [3(x - 5) + 5(2x + 5) ] /  [ (2x + 5)(x - 5)]

= 3x - 15 + 10x + 25 /  (2x + 5)(x - 5)

= 13x + 10 / (2x + 5)(x - 5).

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On a coordinate plane, quadrilateral Q R S T has points (0, 2), (negative 4, 0), (0, negative 3), and (4, 0).
Afina-wow [57]

By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

<h3>How to apply rigid transformations on a point</h3>

Herein we must apply a rigid transformation into a given point to determine an image. <em>Rigid</em> transformations are transformations applied on a <em>geometric</em> locus such that <em>Euclidean</em> distance is conserved. Dilations are a kind of <em>rigid</em> transformations such that:

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If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

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By applying the definitions of <em>rigid</em> transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

To learn more on dilations: brainly.com/question/13176891

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2 years ago
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8 0
3 years ago
Read 2 more answers
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