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Veronika [31]
2 years ago
13

Find the sum 12x^2+9x^2

Mathematics
1 answer:
katen-ka-za [31]2 years ago
5 0
Let's simplify step-by-step.
<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span>Combine Like Terms:
<span>=<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span></span><span>=<span>(<span><span>12<span>x^2</span></span>+<span>9<span>x^2</span></span></span>)
</span></span><span>=<span>21<span>x^<span>2</span></span></span></span>
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What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
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There is 2 ways to solve this type of question.

Method 1
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Formula
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a² + b² = c²

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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

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Ans: The diagonal length is 14cm 
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_____________________________________________________________

Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°

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Property of the Angles 
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x - x - x√2

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Find hypotenuse
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Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
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Ans: The diagonal length is 14cm 
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