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nika2105 [10]
3 years ago
12

Write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

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Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?
MA_775_DIABLO [31]
<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

=====================================================

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

  • angle NOP = angle NML
  • angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

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3 years ago
Where is the blue point on the number line -5 0 5
noname [10]

The blue point on the number line is 5 units away from zero, which is: 5.

<h3>What is a Number Line?</h3>

A number line is an arrangement of numbers from point zero, on both sides of the starting point, which is zero.

In the number line given, the blue point is 5 units away from the starting point, zero.

Therefore, the blue point is 5 on the number line.

Learn more about the number line on:

brainly.com/question/24644930

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2 years ago
How many multiples of 5 are there between 81 and 358?
likoan [24]
There are 55 multiples of 5 between 81 and 358
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3 years ago
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