Given:
The point is C(0,3).
The translation vector is
.
To find:
The coordinates of the new points after translation of point C.
Solution:
If a figure is translated by a vector
, then

The figure is translated by the vector
, then


The point C is at (0,3).


Therefore, the coordinates of the new point are C'(-2,-1).
(1)
we are given

We know that any function is undefined when denominator =0
so, we will set denominator =0
and then we can solve for q

now, we can factor it





so,
q≠1 and q≠−4............Answer
(2)
we are given

Since, any function is undefined when denominator =0
so, we set denominator =0
and then we can solve for y






so,
y≠−5
y≠−4.............Answer
2a
tan37=r/8
r=8tan37
r≈6 in rise per step (to nearest whole inch)
2b
11*12/6=22 steps needed to climb the 11 ft to the entrance
...
3a
tanα=14/20
α=arctan(7/10)
α≈35° (to nearest whole degree)
..
3b
tanα=21/17
α=arctan(21/17)
α≈51° (to nearest degree)