All categories

3 years ago

Find the Equation of the Parallel Line

Mathematics

1 answer:

sasho [114]3 years ago

5 0

Answer:

y = -5x - 1

Step-by-step explanation:

Let the equation of a line parallel to the given line is,

y - y' = m(x - x')

Where m = slope of the line

And line passes through (x', y')

Equation of a line has been given as,

5x + y = 4

y = -5x + 4

Slope of this line = -5

By the property of parallel lines "slope of the parallel lines are same",

m = -5

Parallel line passing through (-1, 4) and slope 'm' = -5 will be,

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 5 + 4

y = -5x - 1

Therefore, equation of the parallel line will be,

y = -5x - 1

You might be interested in

6(u+2v) = 6u+ 12v is what property? (algebraic property, like commutative property of addition...)

Arturiano [62]

This is an example of the Distributive property

7 0

3 years ago

Will someone plzz help

lbvjy [14]

Answer:

4.4 days

Step-by-step explanation:

375 x 0.14 = 52.5

300 - 52.5 = 247.5

247.5 / 55.98 = 4.42 days

3 0

3 years ago

ATCs are required to undergo periodic random drug testing.

aleksandr82 [10.1K]

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

$P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\$

$P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07$

As per the given info we draw the tree diagram which is defined in the attachment file.

$P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )$

$= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762$

$P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}$