Plz meehhh :

a bus travels two different routes: the green route and the blue route. the routes are different lengths.

• on monday the bus traveled the green route 6 times and the blue route 5 times, traveling a total of 52 miles.

• on tuesday the bus traveled the green route 12 times and the blue route 13 times, traveling a total of 119 miles.

what is the length of the green route in miles?
a) 4.4 mi
b) 4.5 mi
c) 6.4 mi
d) 6.8 mi

B

Step-by-step explanation:

Let length of Green Route be g and length of Blue Route be b

From 1st bullet point we can write the equation:

6g+5b = 52

From 2nd bullet, we can write:

12g + 13 b = 119

We can solve for b of the 1st equation as:

Now we can put this value of b into 2nd equation and solve for g (as shown below):

Hence, the green route is 4.5 miles, B is right.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c