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Alexxandr [17]
3 years ago
9

Determine the slope of the line that passes through the points (5, 7) and (-1, 9).

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0
The slope would be (-1,3)
Irina-Kira [14]3 years ago
3 0
The slope (m) for a line that passes through two points (x_1, y_1) and (x_2, y_2) can be calculated using
m = (y_2 - y_1) / (x_2 - x_1)
The points are (5,7) and (-1, 9). Substitute into the equation.
m = (7 - 9) / (5 - (-1))
= (-2) / 6 = -1/3
The slope is -1/3.
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adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

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y = 18 - 16

y = 2 mph

4 0
3 years ago
Which expression is equivalent to the expression shown?
Basile [38]

Answer:

5^0

Step-by-step explanation:

(5^3)^9 = 3 + 9 = 12

= 5^12

5^12/5^12 = 12 - 12 =0

5^0

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4 0
3 years ago
The graph of a function f(x) passes through the following points: (0,0), (1, -2), (2,0) Which of the following could be f(x)?
Sveta_85 [38]

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Step-by-step explanation:

3 0
2 years ago
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Colt1911 [192]
Number of nickels plus number of dimes equals total number of coins
so
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n + 7n = 40

then we solve for n
add like terms
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4 0
3 years ago
Help please. (I need a answer for this)
Katarina [22]

Answer:

D. An input (x) can only be with one output (y).

Step-by-step explanation:

5 0
3 years ago
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