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Zanzabum
3 years ago
11

Item 5 Which list shows the absolute values in order from least to greatest? Select each correct answer. |−17.12| , |−17.08| , ∣

∣17.06∣∣ ∣∣21.95∣∣ , |−22.02| , |−22.11| |−7.38| , ∣∣7.39∣∣ , |−7.41| |−3.07| , ∣∣−3.25∣∣ , |3.31|
Mathematics
1 answer:
Ket [755]3 years ago
5 0

Lets go over some stuff before we answer this absolute values make anything positive or make you count down from zero so then just imagine those numbers as positive.

ill put them as positives and then sort them here

3.07 3.25 3.31    |3.07 3.25 3.31 (Correct)

7.38, 7.39 , 7.41 | 7.38, 7.39 , 7.41  (Correct)

17.12, 17.08 17.06 | 17.06 ,17.08 ,17.12 (Wrong)

21.95 , 22.02 , 22.11 | 21.96 , 22.02 , 22.11 (Correct)

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3 years ago
Determine the measure of each segment then indicate whether the statements are true or false
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Answer:

d_{AB}\ne d_{JK}

d_{AB}\ne \:d_{GH}

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Therefore,

Option (A) is false

Option (B) is false

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Step-by-step explanation:

Considering the graph

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Finding the length of AB using the formula

d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

        =\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}

         =\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}

         =\sqrt{6^2+1}

         =\sqrt{36+1}

        =\sqrt{37}

d_{AB}\:=\sqrt{37}

d_{AB}=6.08 units        

Given the vertices of the segment JK

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From the graph, it is clear that the length of JK = 5 units

so

d_{JK}=5 units

Given the vertices of the segment GH

  • G(-5, -2)
  • H(-2, -2)

Finding the length of GH using the formula

d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

         =\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}

          =\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}

          =\sqrt{3^2+0}

           =\sqrt{3^2}

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0

d_{GH}\:=\:3 units

Thus, from the calculations, it is clear that:

d_{AB}=6.08  

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d_{GH}\:=\:3

Thus,

d_{AB}\ne d_{JK}

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Option (A) is false

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