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VashaNatasha [74]
2 years ago
9

A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from

shore in a function
Mathematics
2 answers:
mrs_skeptik [129]2 years ago
7 0

Answer:

y = -4x + 50

Step-by-step explanation:

To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:

y = mx + 50

To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:

14 = m(9) + 50

Now let's solve for m:

14 = 9m + 50

Subtract 50 from both sides to isolate the 9m:

14 - 50 = 9m + 50 - 50

- 36 = 9m

divide both sides by 9 to isolate the m:

-36/9 = 9m/9

-4 = m

The boat moves at -4 km/minute, which is the same thing as saying that  after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:

y = -4x + 50

agasfer [191]2 years ago
4 0

Answer:

List all of the solutions.

50 k m =

9 m i n u t e s =

14 k m =

Step-by-step explanation:

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3 years ago
what is the slope of the line through (1,0)(1,0)left parenthesis, 1, comma, 0, right parenthesis and (3,8)(3,8)
77julia77 [94]

The slope of the line passing through (1 , 0) and (3 , 8) is 4.

Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.

It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points, (x_{1}, y_{1} ) and (x_{2}, y_{2} ), to calculate the change in y over the change in x.

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

x_{1} = 1

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x_{2} = 3

y_{2} = 8

Substituting the values,

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1} } =\frac{8-0}{3-1} =\frac{8}{2}=4

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.

For more example on slope of line, visit brainly.com/question/3493733.

#SPJ4

7 0
1 year ago
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