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Travka [436]
3 years ago
9

What are the coordinates of the point (−1, 6) after a reflection across the x-axis?

Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0
The answer would be (-1,-6). Remember that the x-axis runs left to right and the y-axis runs up and down. Therefore, if you were to reflect it, just picture it being flipped over. If you go from (-1,+6) and you reflect it over the x-axis, both points are now in the bottom left quadrant where everything is negative. So, you get (-1,-6) The -1 doesn't change since it was already a -x value before and stayed in a negative area.
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Find the distance between these points.<br> R(-1,0), S(8,6)<br> V(26)<br> V(85)<br> 3V(13)
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Answer:

The distance is equal to 3\sqrt{13}\ units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

R(-1,0)\\S(8,6)  

substitute the values

d=\sqrt{(6-0)^{2}+(8+1)^{2}}

d=\sqrt{(6)^{2}+(9)^{2}}

d=\sqrt{36+81}

d=\sqrt{117}\ units

Simplify

d=3\sqrt{13}\ units

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