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3 years ago

If two lines are perpendicular, how are their slopes related?

Mathematics

2 answers:

den301095 [7]3 years ago

8 0

The slopes will be opposite reciprocals.

This means that they will be the opposite sign and the reciprocal.

For example, if the slopes of 2 eqautions are 3 and -1/3, they are perpendicular.

Ganezh [65]3 years ago

6 0

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. ... Theorem 105: If two nonvertical lines are perpendicular, then their slopes are opposite reciprocals of one another, or the product of their slopes is −1.

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Goran makes 9 dollars for each hour of work. Write an equation to represent his total pay p after working h hours. Would 9p=h be

kompoz [17]

The answer is 81 thx

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3 years ago

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0

3 years ago

Sam and Bethan share £54 in the ratio 5:4. how much will each person get

Sunny_sXe [5.5K]

Given :-
sam and Bethan shareare in the ratio 5:4 respectively.
Total no of money is = 54ÂŁ
Solution :-
Let Sams share is be x ie = 5
Let Bethans share be y ie = 4
Total no of share is = 9
Therefore the persons share is (particular persons share / total no of share) *
total value of money
Ans : -
Therefore sams share x is = (5/9)* 54 =30ÂŁ
Therefore Bethans share y is = (4/9) * 54 = 24ÂŁ

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3 years ago

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zheka24 [161]

The answer should be n=p+2

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3 years ago

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BARSIC [14]

Answer:

Step-by-step explanation: