Answer:
Resultant vector of two vectors is (0, 0).
Step-by-step explanation:
in this question two vectors having ordered pair (-6, 5) and (6, -5) have been given.
We can represent these vectors in the form of

and 
Now the resultant of these vectors will be = A + A'
A + A' =
+ 
So the resultant vector = (0 + 0)
Therefore the resultant will be (0, 0)
Answer:
(x + 9)(x + 2 )
Step-by-step explanation:
Sum =11
Product = 18
Factors = 9 , 2
When you multiply (9*2 = 18) and when you add (9 +2 = 11).
x² + 11x + 18 = x² + 9x + 2x + (9*2)
=x(x + 9) + 2(x + 9)
= (x + 9)(x + 2 )
Answer:
x + y = 84
Step-by-step explanation:
Given
x : y : z = 5 : 1 : 3, then
= 5 ( multiply both sides by y )
x = 5y ←
and
=
( cross- multiply )
3y = z
Substitute z = 3y into z - y = 28
3y - y = 28
2y = 28 ( divide both sides by 2 )
y = 14 ← ←
Substitute y = 14 into x = 5y
x = 5 × 14 = 70 ← ←
Substitute y = 14 into z - y = 28
z - 14 = 28 ( add 14 to both sides )
z = 42 ← ←
Thus x = 70, y = 14 and z = 42
Hence x + y = 70 + 14 = 84
Answer:
(D) Although cause-and-effect cannot be established, there is an association between stress and the presence of heart arrhythmias for the population of all women aged 30 to 50.
Step-by-step explanation: