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GaryK [48]
3 years ago
12

Write the equation of the line that passes through the points (8, 14) and (-2,-16) in slope-intercept form.

Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

y = 3x - 10

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 )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (8, 14) and (x₂, y₂ ) = (- 2, - 16)

m = \frac{-16-14}{-2-8} = \frac{-30}{-10} = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 14 ) , then

14 = 24 + c ⇒ c = 14 - 24 = - 10

y = 3x - 10 ← equation of line

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Can anyone help me with this
zloy xaker [14]

Simply the formula of an area is Length x Width

An expression is the core parts of an equation Ex. A + B

A - 11 * 3 (Expression)

B - 11 * 3x (Expression)

* = multiply (x)

3 0
3 years ago
A bus travels at a constant speed of 48 km/h. How long will it take to travel 600 km?
grigory [225]

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by <u>distance needed to travel by the speed</u>

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore <u>the final answer is 12.5 hours</u>

I hope this helps :)

7 0
3 years ago
Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe
Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

4 0
2 years ago
How long would the string be in meters if it is 120 centimeters
nexus9112 [7]
1 meter = 100 centimeters, so 120 centimeters equal to 1.2 meters.
4 0
4 years ago
PLEASE HELP!! URGENT
tatiyna

Answer:

y=105

Step-by-step explanation:

82+75+x=180

157+x=180

x=23

82+23=y

105=y

4 0
3 years ago
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