Line L is mapped onto line m by a dilation centered at the origin with a scale factor of 2/5. Line m is represented by y=2x+10 a
2 answers:
Dilating a line changes the size of the line.
The true statement is <em>(c) Line L passes through the origin</em>
The scale of dilation is given as:
The scale represents the slope of line L.
The equation of line M is:
From the above equation, the slope of line M is:
The two lines do not have the same slope.
<em>This means that, the lines are not parallel and they are not the same line.</em>
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For the two lines to be perpendicular, then the relationship between their slopes is:
The above is false, because:
Hence, the true statement is <em>(c) Line L passes through the origin</em>
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Read more about dilations at:
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Your answer would be 18.1 cm.
To find this length you have to notice that AC is the hypotenuse of the right-angled triangle ACD. This means that we can find it by using Pythagoras' Theorem (a² + b² = c²), however we need to find the length CD.
We can also find the length CD using Pythagoras' Theorem, because the length CD is the same as the base of the triangle at the top if the shape was split into a rectangle and a triangle.
The height of this triangle would be 11 - 4 = 7 cm, which means we can find CD by doing:
16² - 7² = 256 - 49 = 207 = CD²
Now we can find AC by doing √(CD² + 11²) = √(207 + 121) = √368 = 18.1
I hope this helps! Let me know if you have any questions :)
