The formula for fractional exponents is
For this particular problem the expression would be written as
2/3 n = -12 Write equation
(3/2) 2/3n = -12/1 (3/2) Isolate n
n = -36/2 Simplify
n = -18 Answer
Answer:
2700.
Step-by-step explanation:
The total distance would be 2700.
Distance traveled between in 6th second and 12th second is 2430-2160=270 meter. That means Superman covered 270 meter in 6 seconds.
So, now if he is moving at the same speed, he should cover the same distance in first 6 seconds which is 270 meter.
Suppose the whole distance is X when time is 0, and after flying for 6 seconds he now is 2430 meter away. It means that he must have covered the distance of X-2430=270.
Finding for X, we gets the full initial distance, when time was 0.
The simple trick is, once we get the distance he has covered in 6 seconds, we can form the equation like subtracting the whole distance- remaining distance equals to covered distance.
Answer:
-2x^2-6x-15
Step-by-step explanation:
9514 1404 393
Explanation:
Here's one way to go at it.
Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)
x = angle OAB = angle OBA
y = angle OAC = angle OCA
z = angle OBC = angle OCB
Consider the angles at each of the points A, B, C.
At A, we have ...
angle CAB = x + y
At B, we have ...
angle CBA = x + z
At C, we have ...
angle ACB = y + z
The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...
x + x + ∠AOB = (x+y) +(x+z) +(y+z)
∠AOB = 2(y+z) = 2∠ACB
This shows ∠AOB = 2×∠C, as required.