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user100 [1]
3 years ago
9

Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)

m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)

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A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by
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Answer:

Each nested carts is of the length of 1.5 feet.

Step-by-step explanation:

Each row has a starting cart that is 4 feet long, and the nested carts are next to it.  

It is measured that a row of 13 nested carts has a length of 23.5 feet.

Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.

So, each nested cart add to the length of the row, \frac{19.5}{13} = 1.5 feet.

Again, a row of 18 nested carts to be 31 feet long.

Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.

So, each nested cart add to the length of the row, \frac{27}{18} = 1.5 feet.

So, each nested carts is of the length of 1.5 feet. (Answer)

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3 years ago
Each bag juwad picked holds 15 apples. How many apples did he pick in two weeks? write an expression to represent this problem.
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The questions does not make sense
6 0
3 years ago
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Josie is training for a race. The ratio of
anzhelika [568]

The number of minutes that Josie will take is 80 minutes.

<u>Explanation:</u>

<u />

Explanation:

Ratio of  the number of minutes to the  number of miles = \frac{24}{3}

Number of miles = 10

Number of minutes = ?

Let x be the number of minutes

According to the question,

\frac{24}{3} = \frac{x}{10} \\\\x = \frac{240}{3} \\\\x = 80

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6 0
3 years ago
The average length of an adult eastern coach whip snake is 152.4 centimeters write a sentence comparing its length to the other
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Answer:

The eastern coach whip snake is:

i. 88.9 cm longer than the Copperhead snake

ii. 88.9 cm longer than the Western cottonmouth snake

iii. 30.8 cm longer than the Timber rattlesnake

iv. 91.4 cm longer than the Queen snake

Step-by-step explanation:

The average length of the adult eastern coach whip snake is 152.4 centimeters.

The length of the Copperhead snake is 63.5 centimeters

The difference between 152.4 and 63.5 is 152.4-63.5=88.9

Therefore the eastern coach whip snake is 88.9 cm longer than the Copperhead snake

The Western cottonmouth is 63.5 cm just the same length as the copperhead snake.

Hence, the eastern coach whip snake is also 88.9 cm longer than the Western cottonmouth snake

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Also, 154.2-61=91.4

Therefore  the eastern coach whip snake is 91.4 cm longer than the Queen snake.

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