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e-lub [12.9K]
3 years ago
7

Point slope equation that includes the points (5,-3) and a slope of -2

Mathematics
2 answers:
REY [17]3 years ago
7 0

Answer:

y+3=-2(x-5)

Step-by-step explanation:

The point slope form is y-y1=m(x-x1) where m= slope and y1 and x1 are your point.

max2010maxim [7]3 years ago
7 0

\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\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}{5})\implies y+3=-2(x-5)

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Un bosque de 2 km2 está formado por hayas y pinos. Las hayas ocupan 380.000 m2 ¿Cuántos metros cuadrados ocupan los pinos?
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Los pinos ocupan \\ 1620000m^{2} o <em>1 millón seiscientos veinte mil metros cuadrados</em>.

Step-by-step explanation:

Una manera de resolver este problema es la siguiente:

\\ 1km^{2} = 1km * 1km = 1000m * 1000m = 1000000m^{2}

\\ 2km^{2} = 2km * 1km = 2000m * 1000m = 2000000m^{2} = 2 * 10^{6}m^{2}

En palabras, \\ 2km^{2} = 2000000m^{2}, o <em>dos kilómetros cuadrados</em> son iguales a <em>2 millones de metros cuadrados</em>.

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De esta manera, <em>la parte que ocupan los pinos es el total del bosque menos el área ocupada por las hayas</em>. Por lo tanto, el área ocupada por los pinos es:

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Los pinos ocupan, entonces, \\ 1620000m^{2} o <em>1 millón seiscientos veinte mil metros cuadrados</em>.

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