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andrey2020 [161]
3 years ago
6

Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or

decimals. y=mx+b
Mathematics
1 answer:
aliina [53]3 years ago
4 0

(\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}

\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-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3

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Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per ni
Mila [183]

Answer:

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

150y+2x=1,500

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

120y+2x=1,320

Subtract two equations:

150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6

Substitute into the first equation:

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Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid \$130\cdot 6=\$780

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4 years ago
What is 1.83 repeating as a fraction?
maks197457 [2]
The answer to this question would be: 1 5/6

To change a decimal number into fraction, you need to divide the number on the right of decimal point with 1. In this case, the number is 0.83.
This number is hard since .83 doesn't have many factors. To find the answer you can try to multiply the decimal with some number until it close to 1(no decimal left)
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0.83* 3= 2.49 ---> close to half, if you find this number, you can try to double it
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Sphinxa [80]

Answer:

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Step-by-step explanation:

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