Which of the following is the value of x to the nearest tenth? -2.8 -4.2 -4.8 -6.9

Question

Which of the following is the value of x to the nearest tenth?
-2.8
-4.2
-4.8
-6.9
which of the following is the value of x to the nearest tenth

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2022-04-20T20:51:53+00:00 1 Answer 0

Answers ( 1 )

  1. Ximena
    0
    2022-04-20T20:52:57+00:00

    The correct answer is 4.8.

    This forms a right triangle, so we will use the Pythagorean theorem. The radius x forms one leg of the triangle; 14 is the other leg; and (x+10) forms the hypotenuse:

    xu00b2+14u00b2=(x+10)u00b2
    xu00b2+196=(x+10)(x+10)
    xu00b2+196=x*x+10*x+10*x+10*10
    xu00b2+196=xu00b2+10x+10x+100
    xu00b2+196=xu00b2+20x+100

    Subtract xu00b2 from both sides:
    xu00b2+196-xu00b2=xu00b2+20x+100-xu00b2
    196=20x+100

    Subtract 100 from both sides:
    196-100 = 20x+100-100
    96=20x

    Divide both sides by 20:
    96/20 = 20x/20
    4.8 = x

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