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# IF you move five units right and four units down from the origin what is the name of the ordered pair?

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## Related Questions

###### Asked in Math and Arithmetic

### How does a person find these two points 2 -3 -4 5?

The two points are (2, -3) and (-4, 5).
To start at the origin, O, which is (0, 0). Then, to find any
point, such as (p, q), you move p units to the right (to the left
if p is negative) and then q units up (down if q is negative).
So, the first point is 2 units to the righ and 3 down.
The second is 4 to the left and 5 up.

###### Asked in Complex Numbers

### Evaluate and express this complex number in standard form the absulote value of 5-12i?

The absolute value of a complex number is it's magnitude
(distance from the origin). Think about complex numbers
graphically, with reals on the horizontal axis, and imaginaries on
the vertical axis. Now you have a right triangle: From the origin
move to the right 5 units, then move down 12 units. The absolute
value, or magnitude, is the length of the hypotenuse.
For this triangle, it is 13: sqrt(5^2 + 12^2) = sqrt(25+144) =
sqrt(169) = 13. For magnitudes, we are only interested in the
positive square root.

###### Asked in Math and Arithmetic, Algebra, Geometry

### What is the standard equation for vertex at origin opens down 1 and 76 units between the vertex and focus?

Since the vertex is at the origin and the parabola opens
downward, the equation of the parabola is x2 = 4py, where p < 0,
and the axis of symmetry is the y-axis. So the focus is at y-axis
at (0, p) and the directrix equation is y = -p.
Now, what do you mean with 1 and 76 units? 1.76 units?
If the distance of the vertex and the focus is 1.76 units, then
p = -1.76, thus 4p = -7.04, then the equation of the parabola is x2
= -7.04y.

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