Setup the equation from the words as follows:
√
3x/5
=x
Simplify this to:
0=x(5x−3)
Since we are toldx≠0,x=3/5.
Answer: do the math, 39x
Step-by-step explanation:2+4=6 times 7=42-19=23+7=30+9=39x
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
Reduce the right:
Cross multiply:
So, the value of x is 11.4
And we're done!
Step-by-step explanation:
Hi, your question isn't totally complete. Here's the likely full question:
Random walk. A Java programmer begins walking aimlessly. At each time step, she takes one step in a random direction (either north, east, south, or west), each with probability 25%. She stops once she is at Manhattan distance r from the starting point. How many steps will the random walker take? This process is known as a two-dimensional random walk.
Write a program RandomWalker.java that takes an integer command-line argument r and simulates the motion of a random walk until the random walker is at Manhattan distance r from the starting point. Print the coordinates at each step of the walk (including the starting and ending points), treating the starting point as (0, 0). Also, print the total number of steps taken.
Let
. Then
. By convention, every non-zero integer
divides 0, so
.
Suppose this relation holds for
, i.e.
. We then hope to show it must also hold for
.
You have
We assumed that
, and it's clear that
because
is a multiple of 3. This means the remainder upon divides
must be 0, and therefore the relation holds for
. This proves the statement.