HL Theorem
Because the hypotenuse is shared between the two (they both share the same hypotenuse) and the long lengths are both marked congruent (which are both a leg).
The law of an object moving with constant acceleration is
Where 
is space, 
is time, 
is the initial position, 
is the initial velocity and 
is the acceleration.
In this case, if we choose a reference grid with the vertical axis pointing upwards, the acceleration of gravity will point downwards (and thus be negative). The initial position is zero, because the rocket is on the ground, and the initial velocity is 100 (positive because pointing upwards).
So, its law is
(I changed for 
since the rocket is moving vertically, so its position is actually its height. Also, g is the acceleration due to gravity).
The rocket hits the ground if its height is zero, so if we set 
we have
Solving for t, we have either t=0, or
The solution t=0 means that at the beginning the rocket is on the ground. So, we're interested in the other solution. Considering that g is about 32.2 feet/s^2, we have
Answer:
The error in the students work is
y -(-8) + 8 = -6x + 12 + 8
subtracting a negative is adding
y+8
They should subtract 8 from each side instead of adding 8 to each side
Step-by-step explanation:
We can use point slope form since we are given a point and the slope
y-y1 = m( x-x1)
y--8 = -6(x-2)
y+8 = -6(x-2)
Distribute the -6
y+8 = -6x+12
Subtract 8 from each side
y+8-8 = -6x+12-8
y = -6x+4
The error in the students work is
y -(-8) + 8 = -6x + 12 + 8
subtracting a negative is adding
y+8
They should subtract 8 from each side instead of adding 8 to each side
Answer:
1000
Step-by-step explanation:
5% of my 20000 is 1000 so 21000 total or 1000 anually
The probability is 1/12.
There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube. The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)
There are 12 total outcomes. Only one has heads and a 2, so the probability is 1/12.
