The equation that represents the line that is perpendicular is
3y + 5x = -42
The standard equation of a line in point-slope form is expressed as:

- m is the slope of the lne
- (x1, y1) is any point on the line.
- Given the equation y = 3/2x + 1, the slope of the line is 3/5
- The s<u>lope of the line perpendicular</u> is -5/3
Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

Hence the equation that represents the line that is perpendicular is
3y + 5x = -42
Learn more on equation of a line here:brainly.com/question/19417700
Answer:
11.
Step-by-step explanation:
(2(n-3))-4=12
(2n-6)-4=12 <em>distribute</em>
2n-6-4=12
2n-10=12
2n=12+10 <em>isolate</em><em> </em><em>n</em><em> </em>
2n=22
2n÷2=22÷2
n=11
Answer: The required probability is 0.1923.
Step-by-step explanation:
Since we have given that
Probability that it's a good dog = 0.4
Probability that it's a bad dog = 1-0.4 = 0.6
Probability that the dog smokes given that its a bad dog = 0.7
Probability that it smokes given that its a good dog = 0.25
According to question, probability of smoking pipe would be
P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

So, Probability of getting a good dog given that it is smoking pipe is given by

Hence, the required probability is 0.1923.
6-6.
6^-8/6^-2 becomes 6^-8(6^2) which is 6^-8+2=6^-6
I cannot reach a meaningful solution from the given information. To prove that S was always true, you would have to prove that N was always false. To prove that N was always false you would have to prove that L was always false. For the statement (L ^ T) -> K to be true, you only need K to be true, so L can be either true or false.
Therefore, because of the aforementioned knowledge, I do not believe that you can prove S to be true.