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dusya [7]
4 years ago
8

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12?

Mathematics
1 answer:
jeka944 years ago
5 0
Well, we need to solve the inequality in terms of x...

-3(6-2x)≥4x+12  carry out indicated multiplication on left side

-18+6x≥4x+12  subtract 4x from both sides

-18+2x≥12  add 18 to both sides

2x≥30  divide both sides by 2

x≥15, in interval notation:

x=[15, +oo)
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strojnjashka [21]
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3 years ago
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Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: \sqrt{(x-w)^{2} +(y-z)^{2} }

  • so, the length of the side AB =

\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5

  • the length of side BC =

\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }

  • the length of side AC=

\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4

now, the easiest one will be when the vertices are on the coordinate axes.

  • so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

  • here, the alternate interior angles are angle1 and angle4.
  • therefore to prove this step, he used parallel postulate as a reason.
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7 0
4 years ago
What is the volume of a pool that is 10 feet long, 12 feet wide and 4 feet deep? Don’t forget unit
shtirl [24]

Answer:

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2 years ago
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Ne4ueva [31]
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4 years ago
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Grace [21]

Answer:

Wat is the question?

Step-by-step explanation:

5 0
3 years ago
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