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2 years ago

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What is the slope of the line that is perpendicular to the line that passes through the points (-1,3) and (2,-4)?

1 answer:

Leto [7]2 years ago

5 0

Hey there! Remember that perpendicular lines are the negative reciprocal to the original slope. With that in mind, the best way to find the slope is by using equation m=y2-y1/x2-x1, so then if we plug this in we get:

-4-3/2-(-1)

As -4 is our y2, -3 is our y1, 2 is our x2, and -1 is our y1.

You should get -7/3, that’s the original slope. Since this is a perpendicular line we MUST FLIP it and CHANGE THE SIGN.

So our FINAL answer would be: 3/7

Hope that helps!!!

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Simplify (4/5-2). ignore this it has to be 20 characters to work

WINSTONCH [101]

Answer:

-1.2

Step-by-step explanation:

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2 years ago

What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12

hodyreva [135]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$\theta=\frac{2\pi}{7} \\\\r=3\ cm$

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

$L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}$

Hence, Option 'C' is correct.

6 0

3 years ago

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inessss [21]

Answer:

The same (42 degrees)

Step-by-step explanation:

This is because the angles are congruent or the same.

3 0

3 years ago

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Write the equation of the line that passes through the given points in slope intercept form

shepuryov [24]

Answer:

y=3x

Step-by-step explanation:

To put this in slope intercept form, let’s first find the slope

To find slope, use the equation Y2-Y1/X2-X1

When we do this, we get 0-6/0-2

This simplifies out into -6/-2 which is 3

So our slope is 3. Our equation becomes y=3x+b

Now, we find our b

We don’t have to do any solving for this, since we have the point 0,0 listed for us, it goes through the origin and that is our y-intercept or b

So our final equation is y=3x

Hope this helps and have a good day!

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2 years ago

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Which equation is true?

ch4aika [34]

Answer : $9x^2 - 25 = (3x - 5)(3x + 5)$

(1) $9x^2 - 25 = (3x - 5)(3x - 5)$

Use FOIL method to mulitply (3x – 5)(3x – 5)

$(3x - 5)(3x - 5) = 9x^2 - 30x + 25$

(2) $9x^2 - 25 = (3x - 5)(3x + 5)$

Use FOIL method to mulitply (3x - 5)(3x + 5)

$(3x - 5)(3x - 5) = 9x^2 - 15x + 15x - 25 = 9x^2 - 25$

(3) $9x^2 - 25 = -(3x + 5)(3x + 5)$

Use FOIL method to mulitply -(3x + 5)(3x + 5)

$-(3x + 5)(3x + 5) = -(9x^2 + 30x + 25) = -9x^2 -30x -25$

(4) $9x^2 - 25 = -(3x + 5)(3x - 5)$

Use FOIL method to mulitply -(3x + 5)(3x - 5)

$-(3x + 5)(3x - 5) = -(9x^2 - 25) = -9x^2 + 25$

So equation 2 is true

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3 years ago

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