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algol13
3 years ago
8

2x-7=13 what is answer

Mathematics
2 answers:
Serggg [28]3 years ago
7 0

Answer:

x = 10

Step-by-step explanation:

2x-7=13

2x = 20  (Add 7 to both sides)

x = 10 (Divide by 2 on both sides)

Sholpan [36]3 years ago
4 0

Answer:

10

Step-by-step explanation:

2x - 7 = 13

2x = 13+7 = 20

x = 20/2 = 10

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Answer:

If I'm doing this correctly, the answer should be reflected over the y-axis and rotated 180°.

I originally wanted to say <em>just reflect it over the x-axis</em> but that's not an option, so the best alternative is this answer.

Step-by-step explanation:

The image is in Quadrant II. <em>When you reflect the image, you're essentially flipping the image over a line to get a mirror version of that image. Y-axis reflections are actually horizontal flips over the y-axis, and X-axis reflections are actually vertical flips over the x-axis.</em>

So with a y-axis reflection, you'll get this:

<em>(see the uploaded image. I've color-coded A, B, C, and D to make it easier to see.)</em>

Now because it's a perfect mirror image in Quadrant I, rotating it about the origin 180° <em>(or two quadrants if that's easier to understand, since the image is only in one quadrant)</em> will have it land in Quadrant III with all the points in their correct positions.

<em>Just to clarify: a rotation is usually about the origin (0,0) when a specific point isn't referred to, and you're essentially putting a pen or pencil on the origin, then lifting a corner of the graph up and turning it around however many degrees and in whatever direction is specified. So if you're rotating a shape about the origin 90 degrees clockwise and the shape starts in Quadrant I, the positive x-axis becomes the negative y-axis, the positive y-axis becomes the positive x-axis, (2, 3) becomes (3, -2), and so on. 180-degree rotations can be done clockwise or counterclockwise, as they'll end up in the same place.</em>

<em />

Hope this helps!

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