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elixir [45]
3 years ago
8

write an equation for the graph of the line that passes through the point (3,2) and is perpendicular to the line x-2y=-6

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

The equation of the line would be y = -2x + 8

Step-by-step explanation:

In order to find this, we first need to find the slope of the original equation. We can do this by solving for y.

x - 2y = -6

-2y = -x - 6

y = 1/2x + 3

Now that we have a slope of 1/2, we know the new perpendicular line will have a slope of -2. We know this because perpendicular lines have opposite and reciprocal slopes. This means we flip it and change the sign. Now we can use this slope along with the point to find the equation.

y - y1 = m(x - x1)

y - 2 = -2(x - 3)

y - 2 = -2x + 6

y = -2x + 8

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Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

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Answer:

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2 years ago
Point b is the midpoint of ac-. if ab= 4x+2 and ac=10x-6, find the length of ac
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\bf \underset{\leftarrow \qquad \textit{\large 10x-6}\qquad \to }{\boxed{A}\stackrel{4x+2}{\rule[0.35em]{10em}{0.25pt}} B\stackrel{\underline{4x+2}}{\rule[0.35em]{10em}{0.25pt}\boxed{C}}} \\\\\\ AC=AB+BC\implies 10x-6=(4x+2)+(4x+2)\implies 10x-6=8x+4 \\\\\\ 2x-6=4\implies 2x=10\implies x=\cfrac{10}{2}\implies x= 5 \\\\[-0.35em] ~\dotfill\\\\ AC=(4x+2)+(4x+2)\implies AC=[4(5)+2]+[4(5)+2] \\\\\\ AC=22+22\implies AC=44

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