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kifflom [539]
3 years ago
11

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

Mathematics
1 answer:
Andrej [43]3 years ago
7 0

Answer:

The line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:

y +1 = \frac{1}{2} (x-3)

Please check the attached graph.

Step-by-step explanation:

Given

  • The slope m = 1/2
  • The point (3, -1)

<u>Point slope form:</u>

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

In our case:

m = 1/2

The point (x₁, y₁) = (3, -1)

substituting the values m = 1/2 and the point  (x₁, y₁) = (3, -1)  in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-1) = \frac{1}{2} (x-3)

y +1 = \frac{1}{2} (x-3)

Thus, the line of the equation in the point-slope form of the line passing through the point (3, -1) and having slope 1/2 will be:

y +1 = \frac{1}{2} (x-3)

Please check the attached graph.

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Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic tit
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Answer: x = 2921, y = 579

Step-by-Step Explanation:

I am assuming that we just have to Solve for ‘x’ and ‘y’.

‘x’ = No. Of Contemporary Titles
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Adding Eq. 1 and Eq. 2, we get :-

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Hence,
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2 years ago
Triangle MNO is an equilateral triangle with sides measuring 16 StartRoot 3 EndRoot units. Triangle M N O is an equilateral tria
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Answer:

The correct option is second one i.e 24 units.

Therefore the height of the triangle is

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Step-by-step explanation:

Given:

An equilateral triangle has all sides equal.

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NM = MO = ON =16\sqrt{3}

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To Find:

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Solution :

Now we have a right angled triangle NRM at ∠R =90°,

So by applying Pythagoras theorem we get

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Substituting the values we get

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