What is the equation of a line that passes through the origin and is perpendicular to the line 2y=4x-6y+4?
1 answer:
Answer:
y = - 2 x
Step-by-step explanation:
The catch to this one (and there is a catch) is that the y intercept is at 0,0.
All you need is the slope and that means you have to solve the equation for y
2y = 4x - 6y + 4 Add 6y to both sides
2y + 6y = 4x + 4 Combine terms on the left
8y = 4x + 4 Divide by 8
y = 4x/8 + 4/8 Reduce 4/8 to 1/2
y = 4x/8 + 1/2
y = 1/2 x + 1/2
Nowyou are all set to answer the question.
m1 * m2 = - 1
m1 = 1/2 because the coefficient in front of the x is the slope (5/8 in this case). m1 and m2 are both slopes.
1 /2 * m2 = - 1 multiply both sides by 2
(1/2)*(2)*m2 = -1 * (2)
m2 = - 2
The slope of the equation you want is - 2
y = -2 x is the answer
The graph below shows the two equations.
You might be interested in
Answer:
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 10 minutes and a standard deviation of 3 minutes
This means that
Find the probability that a randomly selected complaint takes more than 15 minutes to be settled.
This is 1 subtracted by the p-value of Z when X = 15, so:
has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
0.0475 = 4.75% probability that a randomly selected complaint takes more than 15 minutes to be settled.
