(x-5)(x+3)(x-(-1+2i))(x-(-1-2i))= (complex conjugate)
x² - x( -1+2i) - x(-1-2i) + (-1+2i)(-1-2i)
x² - x(-1+2i -1-2i) + (1+2i -2i +4) ---> because i² = -1
x² - x(-2) + (5) = x² + 2x +5
(x-5)(x+3)(x² + 2x +5)=
(x² -2x-15)(x² + 2x +5)=
x^4 -14x² -40x-75
Y2-y1 -5-(-8) 3
____ = _____ = ___ = -3/7
x2-x1 2-9 -7
The equation is derived from the conservation of energy, specifically from potential energy stored at a given height in a gravitational field.
When potential energy is completely converted to kinetic energy you have:
(mv^2)/2=mgh divide both sides by the mass m
v^2/2=gh multiply both sides by 2
v^2=2gh take the square root of both sides
v=√(2gh) and working with imperial units for acceleration due to gravity, g=-32ft/s^2
v=√(-64h) but the change of h as it falls is negative h so
v=-√(64h) so if an object falls from a height of 88ft we have:
v=-√(64*84)
v=-√5376
v≈-73.32 ft/sec (to the nearest hundredth of a foot per second)
Note that this is the velocity, it is negative 73.32 ft/sec.
The question inadvertently asked for velocity and provided answers for SPEED. Velocity is a vector and has both magnitude and direction, whereas speed just has magnitude.
So its final speed is 73.32 ft/sec
So if they actually wanted velocity none of their answers is correct :P
Hello There!
Your answer is 2(5y - 1)(2y - 3)
Hope This Helps You!
Good Luck :)
- Hannah ❤
1. 3 5/9
2. 1 11/28
3. 3/13