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06.06.2020 •
Mathematics
A triangle has vertices A( -3, 4), B(6, 4) and C(2, -3). The triangle is translated 4 units down and then rotated 90° clockwise. What will be the coordinates of A’’ after both transformations?
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Ответ:
The coordinates of point A after both transformations becomes (0, 3)
Step-by-step explanation:
Translation 4 units down is equivalent to -4 units in the y direction, therefore, we have;
A(-3, 4), B(6, 4), and C(2, -3) becomes
A(-3, 4 - 4), B(6, 4 - 4), and C(2, -3 - 4) which is A(-3, 0), B(6, 0), and C(2, -7)
Rule on operation on coordinates due to rotation of a triangle 90° clockwise is as follows;
For vertex coordinate, (x, y), we change it to (y, -x)
Therefore, we have the coordinates of the point A(-3, 0) after a rotation of 90° clockwise becomes A(0, 3).
Ответ:
h=7.65
Step-by-step explanation:
h=k√p
k=h/√p
k=5.4/√1.44
k=4.5
h=4.5√p
when p=2.89
h=4.5√2.89
h=7.65