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balu736 [363]
3 years ago
14

What is 5a+2.4(a+0.5b)−0.2b

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer: 7.4a+b

1. distribute

=5a+(2.4)(a)+(2.4)(0.5b)+−0.2b

=5a+2.4a+1.2b+−0.2b

2. combine like terms

=5a+2.4a+1.2b+−0.2b

=(5a+2.4a)+(1.2b+−0.2b)

=7.4a+b

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<em>Note: you have not added the image, so I am assuming the quadrilateral MNOP with coordinates M(-4, 0), N(5, -3), P(2, 6) and O(-5, 7). It will anyhow clear your concept as I would explain the concept of reflection over the x-axis.</em>

Step-by-step explanation:

Considering the quadrilateral MNPO with assumed vertices

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<em>THE RULE OF REFLECTION </em>states that when we tend to reflect a point let say (x, y), across the x-axis, the x-coordinate does not change or transform, but the y-coordinate is changed into its opposite sign i.e. (x,-y).

So, the coordinates of the point in the image after quadrilateral MNPO is reflected over the x-axis will be:

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<em>M(-4, 0)                     M'(-4, 0)</em>

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Hope, it will help you clear your concept regarding reflection of an object over the x-axis. Using this understanding, you can solve any other question related to this topic.

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