Solve for x: 4x+16 = 2(2x+16)

1 answer:

5 0

First lets expand the expression using distributive property

( 4x + 16 = 4x + 32)
Next lets cancel 4x on both sides

(16 = 32)

Since we know sixteen equaling thirty-two is not correct, there is no answer.

*I got 16 = 32 by simplifying the first step of expanding and there really is no need to subtract 16 from both sides, you can but either way its no answer just same result.

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Solve the equation. Show your work. 45 = 3b + 69

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Read 2 more answers

For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t

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Answer:

translate down 3
reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.