Let b =
0 2 1
1 1 2
2 1 1
represent the bus routes between 3 cities.
a. draw an example of a network diagram represented by this matrix.
b. calculate the matrix b2 = b.
c. how many routes are there between city 1 and city 2 with one stop in between?
d. how many routes are there between city 2 and city 2 with one stop in between?
e. how many routes are there between city 3 and city 2 with one stop in between?
f. what is the relationship between your answers to parts (b)–(e)? formulate a conjecture

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0