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FrozenT [24]
2 years ago
11

WRITING BOOK

Mathematics
2 answers:
mamaluj [8]2 years ago
7 0

Answer: A. 0.8

Step-by-step explanation:

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14

Trava [24]2 years ago
5 0

Answer:

A

Step-by-step explanation:

Integers are negative and positive whole numbers

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<span><span><span>1. An altitude of a triangle is a line segment from a vertex perpendicular to the opposite side. Find the equations of the altitudes of the triangle with vertices (4, 5),(-4, 1) and (2, -5). Do this by solving a system of two of two of the altitude equations and showing that the intersection point also belongs to the third line. </span>
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<span>If we plot the points and connect them, we get this triangle: 

 

Let point 
A=(xA,yA)
B=(xB,yB)
C=(xC,yC) 



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Start with the general formula 

 


Plug in the given points 

 


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Start with the general formula 

 


Plug in the given points 

 


Simplify and combine like terms 

 


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Plug in the given points 

 


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So the equation of the line through CA is  




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So to find the equation of the line that is perpendicular to  that goes through the point C(2,-5), simply negate and invert the slope  to get 

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So the altitude for vertex C is  



Now to find the equation of the line that is perpendicular to  that goes through the point A(4,5), simply negate and invert the slope to get  

Now plug the slope and the point (2,-5) into  


 

 Solve for y and simplify 

So the altitude for vertex A is  




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So the altitude for vertex B is  



------------------------------------------------------------ 
Now let's solve the system 


 

 Plug in  into the first equation 

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Now plug this into  

 

 



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So the orthocenter lies on the third altitude 





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Step-by-step explanation:

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Zolol [24]

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