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loris [4]
1 year ago
11

A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]​

Mathematics
2 answers:
Paul [167]1 year ago
8 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -3}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Goes through (8, 2) and (12, -10)}

Find:  \textsf{The slope of the line}

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

<u>Plug in the values</u>

  • \textsf{y = }\frac{y_2 - y_1}{x_2 - x_1}
  • \textsf{y = }\frac{-10 - 2}{12 - 8}

<u>Simplify the expression</u>

  • \textsf{y = }\frac{-12}{12 - 8}
  • \textsf{y = }\frac{-12}{4}
  • \textsf{y = -3}

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

KengaRu [80]1 year ago
5 0
<h3>Answer:  m = -3</h3>

Work Shown:

(x_1,y_1) = (8,2) \text{ and } (x_2,y_2)  = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\

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A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
3 years ago
What is the ratio for sin Y if tan Y = 8/15?
jeyben [28]

Answer: 8/17

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The hypotenuse can be found using the Pythagorean theorem. 8^2=64 and 15^2=225. 225+64=289. The square root of 289 is 17. The hypotenuse has a length of 17.

The ratio for sine is opposite/hypotenuse. Take the value of the opposite from the tangent ratio (8) and the length of the hypotenuse (17) to get 8/17.

6 0
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