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suter [353]
4 years ago
14

Tell whether the lines for this equation are parallel, perpendicular or neither

Mathematics
1 answer:
Arisa [49]4 years ago
8 0

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines are lines which do not intersect and their equations have the same slope.

Perpendicular lines are lines which intersect at 90 degree angles and their equations have slopes which are the negative reciprocal of each other. If the slope is 2 then the negative reciprocal would be -1/2.

To determine which this pair of equations is compare their slopes from slope intercept form.

y= 7/3 x +3                                        12x + 28y = 40 becomes y = -3/7 x + 10/7

The slope is 7/3.                                The slope is -3/7.

These are negative reciprocals of each other. The lines are perpendicular,

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x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}

Step-by-step explanation:

1. Subtract 9 from both sides of the equation:

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\sqrt{(x -\frac{7}{2})^2}= \±\sqrt{\frac{29}{4}}\\\\x -\frac{7}{2}=\±\frac{\sqrt{{29}}}{2} \\\\x= \±\frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\\\x_1= \frac{\sqrt{{29}}}{2} +\frac{7}{2}\\\\x_2= -\frac{\sqrt{{29}}}{2} +\frac{7}{2}

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Read 2 more answers
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