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soldi70 [24.7K]
3 years ago
14

What term can you add to 5/6x -4 to make an equivalent to 1/2x-4

Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer:

Denote adding term = a

a = (5/6x) - 4 - (1/2x) - 4

a = (5/6x) - (1/2x)

a = (5/6x) - (3/6x)

a = (2/6x)

a = (1/3x)

*******************************

a = (5/6)x - 4 - (1/2)x - 4

a = (5/6)x - (1/2)x

a = (5/6 - 1/2)x

a = (1/3)x

Hope this helps!

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What set of reflections and rotations would carry rectangle ABCD onto itself? Parallelogram formed by ordered pairs A at negativ
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Option (4).

Step-by-step explanation:

Let's take the coordinates of point A for the set of reflections and rotations given in the options.

Option (1). Rotate 180° → A(-4, 1) becomes (4, -1)

                Reflect over x-axis → (4, -1) becomes (4, 1)

                Reflect over the line y = x → (4, 1) becomes A'(1, 4)

Therefore, point A will not overlap itself after the number of transformations given.

Option (2). Reflect across x-axis → A(-4, 1) will become (-4, -1)

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                  Reflect over the x-axis → (4, 1) becomes A'(4, -1)

Therefore, point A(-4, 1) doesn't overlap A'(4, -1).

Option (3). Rotate 180° → A(4, 1) becomes (-4, -1)

                  Reflect over the y-axis → (-4, -1) becomes (4, -1)

                  Reflected over y = x → (4, -1) becomes (-1, 4)

So the point A(4, 1) becomes A'(-1, 4) after the set of reflections,

Option (4). Reflect over the y axis → A(-4, 1) becomes (4, 1)

                 Reflect over the x-axis → (4, 1) becomes (4, -1)

                 Rotate 180° → (4, -1) becomes A'(-4, 1)

Therefore, point A will overlap itself following the set of transformations.

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