Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
(-2,5) and (-4,8)
substitute the values in the formula
step 2
Find the slope of the perpendicular line to the given line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
----> slope of the given line
therefore
---> slope of the perpendicular line to the given line
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
isolate the variable y
Answer:
Step-by-step explanation:
Days with t are: Tuesday, Thursday and Saturday.
In the period of time given there are 20 T days (20 x 3 = 60 oranges)
In the period of time given there are ? no T days (27 x 2 = 54 oranges)
60 + 54 = 114 Oranges eaten over the school holidays
Answers:
- Shortest Length = LN
- Middle Length = LM
- Longest Length = MN
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Explanation:
Let's find the missing angle.
For any triangle, the three interior angles always add to 180
L+M+N = 180
75+50+N = 180
N+125 = 180
N = 180-125
N = 55
So we know the three angles of the triangle are
We see that M = 50 is the smallest angle, so the smallest side is the segment opposite this angle. The smallest side is LN. The smallest side is always opposite the smallest angle.
Similarly, the largest side is always opposite the largest angle. The largest angle here is L = 75, so the largest side is MN.
The middle side must therefore be LM.
The diagram below shows a visual summary.
We are given with
random samples = 300 batteries
defective samples = 9 batteries
level of significance = 0.1
Using the P-table values and using the given values, we see that the number of defective batteries are really less than 5%
