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soldi70 [24.7K]
3 years ago
9

A line crosses the coordinates (-3, 5) and (4, -2). What is the slope-intercept form of the equation of this line?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
3 0

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-5}{4-(-3)}\implies \cfrac{-7}{4+3}\implies \cfrac{-7}{7}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=1[x-(-3)]\implies y-5=1(x+3) \\\\\\ y-5=x + 3\implies y=x+8

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After the increase the price of a rail season ticket from brighton to london was 2828.80 work out the price before this increase
Scrat [10]

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

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<u>Procedure</u>:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

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3 0
3 years ago
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Answer: 345

Step-by-step explanation:

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6 0
4 years ago
His mouth stinging and burning, Virgil hurried to the
ivanzaharov [21]

As his mouth began to sting and burn, Virgil hurried to the kitchen to get some water to wash the dish's acrid taste away.

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2 years ago
The length, 18 meters, is the answer to the following question.
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Answer:

L = B + 3  ..................(1)

L × B = 270  m²  .................(2)

on solving we get

L = 18 m, B = 15 m

Step-by-step explanation:

Let the length of the rectangle be L

and,

Width of the rectangle be 'B'

thus,

according to the question

L = B + 3  ..................(1)

And, area of the rectangle = 270 m²

also,

Area of the rectangle = L × B = 270  m²  ...........(2)

on substituting 'L' from equation 1 in equation 2, we get

( B + 3 ) × B = 270

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B² + 3B - 270 = 0

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( B - 15 ) × ( B + 18 ) = 0

thus, we get

B = 15 m (accepted ) and B = -18 m (neglected : since the length cannot be negative)

therefore,

From 1, we get

L = 15 + 3 = 18 m

8 0
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