Answer:
First mechanic worked 20 hours and second mechanic worked 5 hours
Step-by-step explanation:
Let the number of hours the first mechanic worked = 
Let the number of hours the second mechanic worked = 
Therefore, we can write 2 equations and then solve them simultaneously:


Rearranging the first equation: 
and substituting into the second equation to find
:


Now sub
into the first equation to find 

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours
Because we know the midpoint is in the middle, we know that both sides are equal.
So set both = to each other
4x - 1 = 3x + 3
add 1 to both sides
4x=3x+4
then subtract 3x from both sides and because there is always a 1 in front of x the answer would be
x=4
Answer:
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Step-by-step explanation:
We are given
Bethel Park is 28 miles directly west of Jeanette
10.3 miles directly south of Pittsburgh
We can draw diagram
we can see that this is triangle
so, we can use Pythagoras theorem
and we get

now, we can solve for x


So,
The length of the road that runs straight from Pittsburgh to Jeanette is 29.8 miles
Answer:
-18 + 6j
Step-by-step explanation:
3 * -6 is -18
3 * 2j is 6j