Answer:
a =
Step-by-step explanation:
Given
ai + bj and 5i - 2j are perpendicular and b = 3, that is
ai + 3j and 5i - 2j are perpendicular, then
The scalar product = 0 , that is
5a - 6 = 0 ( add 6 to both sides )
5a = 6 ( divide both sides by 5 )
a =
Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)