Answer:
The value of q are 0.781,-1.281.
Step-by-step explanation:
Given : Two vectors
and
are perpendicular to each other.
To find : The value of q ?
Solution :
When two vectors are perpendicular to each other then their dot product is zero.
i.e. 
Two vectors
and





Using quadratic formula,




Therefore, The value of q are 0.781,-1.281.
Answer:
N = 18
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
=
( cross- multiply )
5N = 90 ( divide both sides by 5 )
N = 18
Answer:
-31
Step-by-step explanation:
a - 8x will change to (-7) - 8(3) = -31
6 √5
7 π
Both continue on forever and will never have an exact answer - therefore, they're irrational.
Let s = northbound train
Then
2s = southbound train
:
Distance = time * speed
4s + 4(2s) = 600
:
4s + 8s = 600
:
12s = 600
:
s = 600/12
:
s = 50 mph is the northbound train
Then
2(50) = 100 mph is the southbound train
:
:
Check:
4(50) + 4(100) = 600