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zlopas [31]
3 years ago
5

Find three rational numbers between 1/3 and 5/6

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

First we need to know the meaning of a rational number. A rational number is any number that terminates and doesn't repeat as a decimal, and can be represented as a fraction.

I would say it's 3/6, 4/6, and 5/6, you can also have 2/6 since they can be expressed as a ratio and are between 1/3 and 5/6. (1/3 is equal to 2/6)

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What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
agasfer [191]

Answer:

y = \frac{2}{5} x + \frac{4}{5}

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = \frac{-3-2}{0-(-2)} = \frac{-5}{0+2} = - \frac{5}{2}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{5}{2} } = \frac{2}{5} , then

y = \frac{2}{5} x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = \frac{6}{5} + c ⇒ c = 2 - \frac{6}{5} = \frac{4}{5}

y = \frac{2}{5} x + \frac{4}{5} ← equation of perpendicular line

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