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Black_prince [1.1K]
3 years ago
7

Please help me on this one

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

option a

step-by-step explanation:

To rationalize the expresion we need to multiply and divide the expression by the conjugate of the denominator as follows

sqrt(9) / (sqrt(3) + sqrt(x)) = sqrt(9) ((sqrt(3) - sqrt(x)) / ((sqrt(3) + sqrt(x))(sqrt(3) - sqrt(x)))

3((sqrt(3) - sqrt(x)) / (3 - x)

So the result es option a:

(3sqrt(3) - 3sqrt(x)) / (3 - x)

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I'm not really sure what the question might be asking or if I've been given all the information but this is how you would solve it as (-2,4] meaning any real number between these will give you a real x on the domain.

Step-by-step explanation:

-4 < 3x + 2 \leqslant 14 \\  - 6 < 3x \leqslant 12 \\  - 2 < x \leqslant 4

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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Find x.

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

  • Altitude = 1.6 cm.
  • Base = 1.2 cm
  • Hypotenuse = x

Now, let's solve for x.

Hypotenuse² = Base² + Altitude²

x² = (1.2)² + (1.6)²

x² = 1.44 + 2.56

x² = 4

x = √4

x = <em><u>2</u></em><em><u>.</u></em>

  • So, the value of x is <em><u>2</u><u> </u><u>cm.</u></em>

<h3><u>NOTE</u><u> </u><u>:</u><u>-</u></h3>
  • Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
  • To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.
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