The slope of the perpendicular line is the negative reciprocal of that of the given line, so is
-1/(3/5) = -5/3
Then the point-slope equation of the perpendicular line can be written as
y = (-5/3)(x -15) -5
y = (-5/3)x +20
The y-intercept of the perpendicular line is y=20.
We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1
Answer:
f(a) = 1,5
Step-by-step explanation:
-3a + 6b = a + 4b
[+3a] [+3a]
6b = 3a + 4b
[-4b] [-4b]
2b = 3a
[÷2] [÷2]
b = 1,5a
Answer:
Ok, but what is the question or data?
Step-by-step explanation:
Here is the answer to this question,
His hypothesis would be:
Null hypothesis:
H0: μ(new) - μ(regular) = 0
Alternate hypothesis:
H1: μ(new) - μ(regular) > 0
The consumer is testing to know if his new detergent is better off in cleaning than the regular. The question says that higher scores after cleaning is used to signify which is better based on sufficiently clean garment. Since he is interested in knowing the mean scores of the differences, he should use the hypothesis I stated above.