Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
Answer: -2.10
Step-by-step explanation:
Given : 

Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean :-

i.e. 
Hence, the value of the test statistic = -2.10
<span>Answer: a) (5x - 1) (x + 6)
Explanation:
</span>5x² + 29x − 6 = (5x - 1) (x + 6)
5x \ / -1 -x
\/
/\
x / \ 6 30x
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5x² -6 29x
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2/3 x 1/5 = 2/15 that is the answer