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lbvjy [14]
1 year ago
6

Solve the inequaility - x/4 <2

Mathematics
1 answer:
IrinaK [193]1 year ago
8 0

❄ Hi there,

let us start by considering this: What should we do to get x all by itself?

Since it's

  • divided by 4
  • multiplied by -1

we should

  • multiply (both sides) by 4
  • divide (both sides) by -1

So, let's start.

\sf{\dfrac{-x}{4}\times4 < 2\times4}}

\sf{-x < -8}

\sf{x > 8}

When we divide both sides of an inequality by a negative number, we do "the inequality flip" and <em>flip the inequality sign</em>.

❄

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Given the functions expressed as:

h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2}  \\

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h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x

Get the composite function g(h(x))

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Given that m∠ABD = 84° and m∠BAC = 37°, what is the m∠ACD?
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Pardon my drawing, I know it;s not prefect, and I'm not sure how to draw a figure on Brainly, but this is the best I can do. For this problem, it is easier to draw it out so you can see that the angles look like. Just pretend the lines are filled in, and this is a perfect parallelogram.

       

      A   ________________ C

        /                                   /

      /                                  /

    /                                 /

B /_______________/ D

As you can see, the angles given in the problem gives us a parallelogram. Since we know m∠ABD is 84° and m∠BAC is 37°, we know that m∠ACD is 84°. If you draw diagonal lines, ∠ABD and ∠ACD are vertical angles. Vertical angles are congruent. Therefore, m∠ACD is 84°.

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