Mass of freight train: 9.98 • 106
= 1057.88 kg
mass of aircraft carrier: 7.3 • 107
= 781.1 kg
difference: 1057.88 - 781.1
= 276.78 kg
= 2.7678 x 10^2
Completing the square follows the principle of taking

and converting it into

where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us

.
In this case, 2/2=1 so we have the first part:

.
Expanding this gives us

. We need c to be 9, so we can just add 8.
Putting this together:

Now we can solve it more easily.
Rearranging:
Answer:
20
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
21^2 + b^2 = 29^2
441 + b^2 = 841
Subtract 441 on both sides to get b^2 = 400
Take the square root of both sides to get b = 20
Answer:
and
are the required solution.
Step-by-step explanation:
We have been give the graph of a function in which there is a downward parabola and a line.
Solution to the system of equation is intersection of two curves.
We can see that the parabola and line intersects at two points.
We ca see from the graph that there is 2 units scale in the coordinate plane.
and
are the required solution.