1st transformation:
2nd transformation:
When you rotate a point around the origin by 180 degrees, you change both coordinates to opposite values.
It would be y=3x+2 because in y=mx+b, m is the slope and b is the y-intercept
The interior angles of a parallelogram will always equal 360. The interior angles of a triangle are 180 if it is a equilateral triangle then the angles are 60 degrees each. You know 2 sides of parallelogram. The 100 degree and 90 degree. You can find the one opposing the x because it’s on a straight line and a straight line is 180 degrees if a triangle is 60 degree angle then the opposing angle to complete the straight line must be 180-60 so you get 120. You now know 3 sides. 120, 90 and 100
They should add up to be 360 so you can set up an equation like so
120+90+100+x=360
And x = 50
Write the coeeficientes of the polynomial in order:
| 1 - 5 6 - 30
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|
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After some trials you probe with 5
| 1 - 5 6 - 30
|
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5 | 5 0 30
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1 0 6 0 <---- residue
Given that the residue is 0, 5 is a root.
The quotient is x^2 + 6 = 0, which does not have a real root.
Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
