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2 years ago

What is the slope of a line perpendicular to the line whose equation is 18x+3y=81 Fully simplify your answer.

Mathematics

2 answers:

S_A_V [24]2 years ago

7 0

Answer: m = $\frac{1}{6}$

Step-by-step explanation:

Find the slope of the line that is perpendicular to 18x + 3y = 81 :: m = 1/6

klasskru [66]2 years ago

3 0

Answer:

slope = $\frac{1}{6}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

18x + 3y = 81 ( subtract 18x from both sides )

3y = - 18x + 81 ( divide the terms by 3 )

y = - 6x + 27 ← in slope- intercept form

with slope m = - 6

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-6}$ = $\frac{1}{6}$

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What is the slope of the line shown below?

Sergio039 [100]

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

$m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}$

The correct option should be Option D.

Hope this helps you.

7 0

3 years ago

Everett is rolling a block with the numbers 1, 2, 3, 4, 5, and 6 on it. Finley is drawing one disk from a basket of three disks:

ioda

Option A:

The probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

Solution:

Given data:

Everett is rolling a block with numbers = {1, 2, 3, 4, 5, 6}

Finley is drawing one disk from basket with colors = {blue, red, yellow}

Total number of numbers = 6

Total number of colors = 3

$$\text { Probability }=\frac{\text {Number of possible outcomes}}{\text {Total number of outcomes}}$

$P\text{(Even number)} =\frac{3}{6}$

$P\text{(Blue disk)} =\frac{1}{3}$

$P\text{(Even number and Blue disk)} =\frac{3}{6}\times\frac{1}{3}$

$$=\frac{3}{18}$

Divide numerator and denominator by the common factor 3.

$$=\frac{3\div3}{18\div3}$

$$=\frac{1}{6}$

Option A is the correct answer.

Hence the probability that Everett and Finley end up with an even number and a blue disk is $\frac{1}{6}$ .

3 0

3 years ago

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon

sweet [91]

Answer:

30 miles

Step-by-step explanation:

In this context, "per" means "divided by", so to find miles per gallon, divide miles by gallons:

(56 1/4 mi)/(1 7/8 gal) = 30 mi/gal

The vehicle can travel 30 miles per gallon of gas.

_____

My calculator divides mixed numbers directly, as many graphing calculators do. If you're working this out by hand, you can convert to improper fractions, then multiply the numerator by the inverse of the denominator.

(56 1/4)/(1 7/8) = (225/4)/(15/8)

= (225/4)·(8/15) = (225/15)·(8/4)

= 15·2 = 30

4 0

3 years ago

Answer for brainilest and 30 points.

Karo-lina-s [1.5K]

Answer:

Top Right

Step-by-step explanation:

231/pi(3)^2 =8.17

Round down to 8

7 0

2 years ago

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Suppose that coin 1 has probability 0.7 of coming up heads, and coin 2 has probability 0.6 of coming up heads. if the coin flipp

umka2103 [35]

Answer:

C. 3/8

Step-by-step explanation:

7 0

3 years ago