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dalvyx [7]
3 years ago
9

5x+6y=18and 18x-15y=36 parallel or perpendicular

Mathematics
1 answer:
Katen [24]3 years ago
8 0

Answer:

<u>They</u><u> </u><u>are</u><u> </u><u>neither</u><u> </u><u>parallel</u><u> </u><u>nor</u><u> </u><u>perpendicular</u><u>,</u><u> </u><u>since</u><u> </u><u>slope</u><u> </u><u>are</u><u> </u><u>different</u><u> </u><u>and</u><u> </u><u>not</u><u> </u><u>related</u><u> </u><u>by</u><u> </u><u>any</u><u> </u><u>equation</u>

Step-by-step explanation:

First arrange them according to general equation:

y = mx + c

<u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>f</u><u>i</u><u>r</u><u>s</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u> :

5x + 6y = 18 \\ 6y =  - 5x + 18 \\ { \boxed{y =  -  \frac{5}{6} x + 3}}

<u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>s</u><u>e</u><u>c</u><u>o</u><u>n</u><u>d</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u> :

18x - 15y = 36 \\ 15y = 18x - 36 \\ y =  \frac{18}{15} x -   \frac{12}{5}

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Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

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