The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Step-by-step explanation:
Given equation of line is:
We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4
Let m1 be the slope of given line
Then
Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1
The slope intercept form of line is given by:
Putting the value of slope
to find the value of b, putting (3,-3) in equation
Putting the value of b in the equation
Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Keywords: Equation of line, slope
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Answer:
no
Step-by-step explanation:
Answer:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is ≈ 1.8
The critical z-score is 1.28
we fail to reject the null hypothesis H0: μ ≤ 34
Step-by-step explanation:
H0: μ ≤ 34
H1: μ > 34
The z-test statistic is calculated using the formula:
z=
where
- X is the average class size found in the sample (35.6)
- M is the mean according to the null hypothesis (34)
- s is the standard deviation for class size (9)
then z= 
≈ 0.18
The critical z-score is 1.28 for α=0.10 (one tailed)
Because the test statistic is less than the critical value, do not reject the null hypothesis.
Answer:
Complementary
Step-by-step explanation:
Complementary Angles add up to 90°
Supplementary Angles add up to 180°
60 + 30 = 90
Answer:
x=12
Step-by-step explanation:
combine like terms
