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3 years ago

The line m has a slope of 4. What is the slope of a line perpendicular to line m?

Mathematics

2 answers:

In-s [12.5K]3 years ago

8 0

Step-by-step explanation:

Given

Slope (m1) = 4

As it is said that the lines are perpendicular so we have

m1 * m2 = - 1

4 * m2 = - 1

m2 = - 1/4

The slope of the line perpendicular to line m is

- 1/4

Hope it will help :)❤

max2010maxim [7]3 years ago

3 0

Answer:

The slope of the perpendicular line is -1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

Let the slope of the perpendicular line have sloe p

m*p = -1

4 * p = -1

Divide each side by 4

p = -1/4

The slope of the perpendicular line is -1/4

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I have 3 times as much money as my brother. Our total is $24. How much does each of us have?I have 3 times as much money as my b

musickatia [10]

Answer:

Brother's money = $6

Money I have = $18

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

I have 3 times as much money as my brother:

Money I have = 3x

Where x is the money that my brother has:

Brother's money = x

Our total is $24

So, 3x+x =24

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3x+x=24

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3 years ago

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

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