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Alex777 [14]
3 years ago
10

Write the equation of a line passing through -1,4 and perpendicular to x+2y=11

Mathematics
1 answer:
Sophie [7]3 years ago
8 0
Y=2x+6
gradient is found from the formula,
\frac{ - 1}{ -  \frac{1}{2} }  = 2
y intercept is found by subbing the values of (-1,4) into the equation y=2x+c
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<h3>Answer:</h3>

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<h3>Step-by-step explanation:</h3>

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

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Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

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Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

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Lastly, we can create a formula to find y with the angle sum theory.

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Subtract 155 from both sides

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This means that the angle y is 25 degrees.

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