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sladkih [1.3K]
2 years ago
9

Find the equation of the line passing through the points (3,3) and (4,5). y = [? ]x +[ ?]

Mathematics
1 answer:
muminat2 years ago
3 0

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{3}}}\implies \cfrac{2}{1}\implies 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}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{3}) \\\\\\ y-3=2x-6\implies y=2x-3

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3 years ago
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Answer:

<u>1728 in²</u>

Step-by-step explanation:

For the area of B, you need to find the length and width (height and base, whatever you want to call it).

For the height, you would need to do: 144 - 36 - 24 - 36 = <u>48 inches</u>

For the base, you would need to do: 60 - 24 = <u>36 inches</u>

Now you multiply the base and height to get the area: 48 x 36 = <u>1728 in²</u>

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2 years ago
How exactly do you do this because my teacher didn't teach me how
mylen [45]
The area is found by base x height

To find the missing height in the first one you divide 147 by 15 3/4 and get 9 1/3. 
To find the missing base in the second one you divide 140 5/8 by 11 1/4 and get 12 1/2.
To find the missing height in the third one you divide 151 3/16 by 10 1/4 and get 14 3/4. 

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
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Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

y=2x-5\\2y=4x+a

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

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3 years ago
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