When lines are perpendicular their slopes flip and?

Mathematics

2 answers:

natka813 [3]3 years ago

8 0

Answer:

Their sign changes.

Mamont248 [21]3 years ago

7 0

For this case we have to:

Given two lines:

$y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}$

By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:

$m_ {1} * m_ {2} = - 1$

ANswer:

The product of the slopes of two perpendicular lines is -1.

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4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.

brilliants [131]

Answer:

2 $\frac{1}{2}$ litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4 $\frac{1}{2}$ litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4 $\frac{1}{2}$ litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4 $\frac{1}{2}$ litres

5 juice bottles ===> x

∴x = $\frac{5 * 4\frac{1}{2} }{9} litres$