Answer:
16
Step-by-step explanation:
Given expression:
log(5x + 20) = 2
From the given expression, we are to find x;
Using the rule of logarithm, we can solve this problem;
logₐb = C
b = Cᵃ
So;
log(5x + 20) = 2
this is to base 10;
5x + 20 = 10²
5x = 100 - 20
5x = 80
x = 16
Answer:
the third option - they are perpendicular to each other.
Step-by-step explanation:
for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.
and that is exactly what happened here.
Answer:
n=42
Step-by-step explanation:
From trigonometry we know that:
if 
then, 
(where 
is an integer)
This can be rewritten in degrees as:
.............(Equation 1)
Now, in our case, 
Therefore, (Equation 1) can be written as:
..........(Equation 2)
Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of 
that match.
For n=2, (Equation 2) gives us: 
.
Thus, 
Now, we know that: 
Let n=-1, then:
Thus, 
Likewise, 
Only the last option 
will never match 
because no integral value of will ever give 
Thus the last option is the correct option.
