Answer:
Size of each group =
Step-by-step explanation:
Total number of paint brushes = x
Since each the three groups are equally sized, to get the number of paintbrushes in a group, we will have to divide the total number of paint brushes by 3
∴ We have, number of paint brushes in a group =
=
this is also the same thing as saying ×
This shows that the size of the new group is the same as the size of the original group
Answer:
Step-by-step explanation:
i don`t know sorry
Answer:
5
Step-by-step explanation:
the formula of the distance between
the point (p, q) and the line ax + by +c = 0 =>
d = |p.a + q.b +c| / √(a²+b²)
d = |5(-3)+5(-4)+10| / √[(-3)²+(-4)²]
= |(-15-20+10)|/√25
= |-25|/ 5
= 25/5
= 5
The northbound car has traveled a distance of 6.2 miles.
Step-by-step explanation:
Step 1:
The eastbound car has traveled a distance of 5 miles and if a straight line is drawn between the two car's positions it would measure 8 miles.
This forms a triangle which has a hypotenuse measuring 8 miles while one of the other sides measures 5 miles.
Assume the distance traveled by the northbound car is x miles.
Step 2:
According to Pythagoras' theorem,
So the northbound car has traveled a distance of 6.244 miles. Rounding this off, we get 6.2 miles.