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antoniya [11.8K]
3 years ago
9

Find the slope and reduce. P=(-8, 3) Q=(-6, 2)

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer: -1/2

Step-by-step explanation:

Slope is change in y over change in x. Y shifts down -1, while X shifts to the right 2

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\bold{\huge{\blue{\underline{ Solution }}}}

\bold{\underline{ Given :- }}

  • <u>1</u><u>/</u><u>3</u><u>r</u><u>d</u><u> </u><u>part </u><u>of </u><u>the </u><u>length </u><u>of </u><u>a </u><u>bamboo </u><u>is </u><u>coloured </u><u>with </u><u>red </u><u>and </u><u>1</u><u>/</u><u>5</u><u>t</u><u>h</u><u> </u><u>part </u><u>of </u><u>it </u><u>is </u><u>coloured </u><u>with </u><u>green </u><u>and </u><u>the </u><u>remaining </u><u>is </u><u>14m </u><u>is </u><u>coloured </u><u>with </u><u>yellow</u><u>. </u>

\bold{\underline{ To \: Find :- }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>total </u><u>length </u><u>of </u><u>the </u><u>bamboo </u>

\bold{\underline{ Let's \: Begin :- }}

Let the total length of bamboo be x

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

\sf{\dfrac{ 1}{3}}{\sf{x +}}{\sf{\dfrac{ 1}{5}}}{\sf{x + 14 = x }}

\sf{\dfrac{ 1}{3}}{\sf{x + }}{\sf{\dfrac{1}{5}}}{\sf{x  = x - 14 }}

\sf{\dfrac{5x + 3x}{15}}{\sf{ = x - 14  }}

\sf{ 5x + 3x = 15( x - 14 )}

\sf{ 8x = 15x - 210 }

\sf{ 210 = 15x - 8x}

\sf{ 7x = 210 }

\sf{ x = }{\sf{\dfrac{ 210}{7}}}

\sf{\red{x = 30\: m}}

Hence, The total length of the bamboo is 30m.

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both are  vertical angles

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<h2>On a coordinate plane, a parabola opens up with x-intercepts at (negative 2, 0) and (2, 0), and a y-intercept at the vertex (0, negative 4).</h2>

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Parabollas are characterized by being curves which opens upside or downside.

When the parabolla opens upside, then we say it has a minium.

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In either the minium or maximum point is defined by the vertex.

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