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tatuchka [14]
2 years ago
11

1. What is the slope between the points (2,-5) and (8,3)? * Show work please

Mathematics
1 answer:
hjlf2 years ago
6 0

Answer:

\sf m = \dfrac{4}{3}

Step-by-step explanation:

Given, \sf (x_1, ~ y_1) = (2, -5) and \sf (x_2, ~ y_2) = (8, 3)

The slope formula is, \sf m = \dfrac{y_2 - y_1}{x_2 - x_1}

\sf m = \dfrac{3 - (-5)}{8 - 2}

\sf m = \dfrac{8}{6}

\bf m = \dfrac{4}{3}

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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
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You did not provide us with equations to select.

Find the slope m.

m = (1 - 2)/(3 - (-1))

m = -1/(3 + 1)

m = -1/4

Use the slope and one of the points and plug into the point-slope formula.

y - 1 = (-1/4)(x - 3)

Isolate y.

y - 1 = (-1/4)x + (3/4)

y = (-1/4)x + (3/4) + 1

y = (-1/4)x + (7/4)

Did you follow?

5 0
3 years ago
Read 2 more answers
Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number
Fiesta28 [93]

Answer:

Discrete variables are those whose distribution will only take a finite number of values which are represented by integer values only.

Continous variables on the other hand could have an infinite number of points inbetween two integer values. With the values inbetween being decimals.

Step-by-step explanation:

a. The number of textbook authors now sitting at a computer :

A discrete random variable

Number of authors will be an integer value.

b. The height of a randomly selected giraffe ;

Continous random variable

Possible height value : h > 0

c. The responce to the survey question "Did you smoke in the last week"

It is not a random Variable

The response isn't numeric

d. The amount of rain in City B during April

It is a continous random variable

Possible values ; amount of rain > 0

e. The time it takes to fly from City A to City B

It is a continous random variable

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f. The number of light bulbs that burn out in the text week in a room with 17 bulbs

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6 0
3 years ago
Kevin has three pieces of wood. Board A is 6 inches long, board B is 11 inches long, and board C is 4 inches long. If the full l
Alik [6]

Answer:

b. no, 6 + 4 < 11

Step-by-step explanation:

To form a triangle, longest length should be less than the sum of the two shorter ones.

4 0
3 years ago
Which equation could be used to find the value of x in the triangle below?
valkas [14]

Answer:

  • 4x - 12 = 180

Step-by-step explanation:

<u>Sum of the angles of triangle equals 180</u>

  • x + 12 + 2x - 29 + x + 5 = 180

<u>Simplified</u>

  • 4x - 12 = 180
5 0
3 years ago
7b + 3 – 4b = 3 – 3(b + 4)
svlad2 [7]

Hello from MrBillDoesMath!

Answer:  b

Discussion:

7b + 3 - 4b = 3 - 3(b+4)  =>

7b + 3 - 4b = 3 - 3b -12 =>

(7b - 4b) + 3   = -3b - 9 =>

3b + 3 = -3b -9    =>      Add 9 to both sides

3b + 12 = -3b -9 + 9  =>

3b + 12 = -3b  =>         ( add 3b to both sides)

6b + 12 = 0 =>             (subtract 12 from both sides)

6b = -12 =>

b = -12/6 = -2


Thank you,

MrB


7 0
3 years ago
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