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Katen [24]
3 years ago
6

Select the correct answer.

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

B. (2,-5)

Step-by-step explanation:

The vertex of the function can be found in the most lower value that the function can have.

Since we have an ABS function involved we need to analyse it at first

We know that |x| = x if x> 0 and  |x| = -x if x< 0

if we now change x by x-2 (the content of our ABS function involved, we have the following

|x-2| = x-2 if x-2> 0

|x-2| = -x+2 if x-2< 0

Those inequaiities have a common solution

x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.

So by evaluating x=2 in the given function we will obtain its vertex.

leading to f(2)=6 |2-2|-5= -5

Hence the point (2,-5) is the vertex of our function

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If UV = 8x, VW=x+1, and UW=10,what is VW?
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Applying the segment addition theorem, the length of line segment VW is: 2 units.

<h3>What is the Segment Addition Theorem?</h3>

The segment addition theorem states that the sum of the lengths of two segments that make up a larger line segment equals the measure of the larger line segment, if the point on the line segments are collinear.

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UV + VW = UW (segment addition theorem)

Substitute the values

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Open bracket

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Combine like terms

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Subtract 1 from both sides

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Divide both sides by 9

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Plug in the value of x

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Therefore, applying the segment addition theorem, the length of line segment VW is: 2 units.

Learn more about the segment addition theorem on:

brainly.com/question/1397818

#SPJ1

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