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3 years ago

How do I find the slope to this equation ? 2х-Зу = 12

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

8 0

Answer:

2/3

Step-by-step explanation:

Slope of the equation is determined as per slope-intercept form:

y = mx +b

Bring the given equation to mentioned form:

2x - 3y = 12 ⇒ make y the subject
3y = 2x - 12 ⇒ divide all terms by 3
y = 2/3x - 4 ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation

evablogger [386]3 years ago

3 0

Answer:

slope = $\frac{2}{3}$

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

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = $\frac{2}{3}$ x - 4 ← in slope- intercept form

with slope m = $\frac{2}{3}$

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Assume two radar stations which are 39 miles apart are both tracking a plane. At a given moment, the angle between station 1 and

SpyIntel [72]

Answer:

37.3 miles

Step-by-step explanation:

180 - 59.83 - 55.54 = 64.63°

39/sin64.63 = X/sin59.83

X = 37.3157217 miles

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3 years ago

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is per night (USA Today, Apr

kow [346]

Answer:

$P(X$

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

$X \sim N(204,55)$

Where $\mu=204$ and $\sigma=55$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

We are interested on this probability

$P(X>225)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})$

$=P(Z>\frac{225-204}{55})=P(Z>0.382)$

And we can find this probability on this way:

$P(Z>0.382)=1-P(Z$

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3 years ago

Mark is gluing a ribbon around the sides of a picture frame. The frame is 11 inches long and 7 inches wide. How much ribbon does

zalisa [80]

You are looking for the perimeter, so you need to add 11+11+7+7. That equals 36.

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4 years ago

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Two parallel lines are cut by a transversal, as shown below. Solve for b. Then explain your reasoning.

AleksandrR [38]

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

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2 years ago

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WILL GIVE BRAINLIEST

wlad13 [49]

A) Tonya bought 3 games at X price, so 3X would be total amount.

B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).

C) Set those to equal to solve for x:

3x = 4(x-0.50)

D) Solve:

3x = 4(x-0.50)

Distribute:

3x = 4x - 2

Subtract 4x from both sides:

-X = -2

Multiply both sides by -1:

X = 2

E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.

Check:

Tonya: 3x = 3(2) = $6 total

Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total

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3 years ago

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