Answer:
Step-by-step explanation:
First find the slope of the line that passes through the points (-5,0) and (-1, -8). Notice how x increases 4 units from -5 to -1 and y decreases 8 units.
Thus, the slope of this line is m = rise / run = -8/4, or m = -2.
Another way to look at this:
change in y - 8 - 0
m = -------------------- = ------------ = -2
change in x -1 - (-5)
Please note: m=-1 - (-5) = 45
8 = -2 is not correct; 8 cannot equal -2.
Fractions is the correct answer
Answer:
Step-by-step explanation:
0 = 0 ± b
0 = b
I am joyous to assist you anytime.
Answer: x = ± 1.68
Step-by-step explanation:
7x^4 = 56
x^4 = 56/7
x^4 = 8
Let a = x²
(x²)² = 8
(a)² = 8
a = ± √8
Now,
a = -√8
x² = -√8 has no real solution.
Taking +√8
a = √8
x² = √8
x = ± √(√8))
x = ± 1.68
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