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Answer:
The correct answer is 25.2 in.
Step-by-step explanation:
It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.
2 inches of the ribbon are frayed so actual length = 58 inches
Please refer to the attached image for the ribbon.
A is at 0
C is at 60
B is at 2
P is the point to divide the remaining ribbon in the ratio 2:3.
Part AB of the ribbon is frayed.
BP: PC = 2:3
Let BP = 2 and PC = 3
Now, BP + PC = BC = 58 = 2 + 3
= 5
So,
BP =
Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>
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Alternatively, we can use the formula directly:
m: n is the ratio 2:3
Answer: y = + 30/11
Step-by-step explanation:
Two line are said to be perpendicular to each other if the slope of the first line = -1 / the slope of the second line , that is
If the slope of the first line is M1 and the slope of the second line is M2 , then M1 = -1 / M2.
From the equation given , M1 = - 11 , that means M2 = 1 / 11
Using the formula y - y1 = m ( x - x1) to calculate the equation , we have
y - 3 = 1/11 ( x - 3)
Multiply through by 11 , we have
11 ( y - 3 ) = x - 3
11y - 33 = x - 3
11y = x + 30
y = x/11 + 30/11