rationalise the denominator by multiplying both top and bottom by (8-5√3) then expand and simplify
Substitute x = -5
|2* -5 -1| + 10
|-10-1| + 10
21
The slope of BC is 
Step-by-step explanation:
Let us revise some notes about slopes of lines
- If two lines are parallel, then their slopes are equal
- If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is
∵ ABCD is a rectangle
∵ AB // CD
∴ The slope of AB = the slope of CD
∵ BC ⊥ AB
∴ The slope of BC × the slope of AB = -1
∵ The slope of AB = 
- To find the slope of BC reciprocal the slope of AB and reverse its sign
∴ The slope of BC =
The slope of BC is
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Answer: 4) 157
Step-by-step explanation:
We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.
In 7-th grade we have:
Left handed : 11
Right handed: 72
The ratio is 11/72 = 0.14
Then, the ratio for the 8-th graders must be about the same:
Left handed: 24
Right handed: X
Ratio: 24/X
Let's start with the bigger option, X = 157.
24/157 = 0.15
Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)
Then the correct option is 4) 157
