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Which one of the following formulas correctly expresses this statement: a quantity x is equal...

Question:

Which one of the following formulas correctly expresses this statement: a quantity {eq}x {/eq} is equal to the sum of the squares of {eq}a {/eq} and {eq}b {/eq}?

a. {eq}x = a^2 + b^2 {/eq}

b. {eq}x = \sqrt{ab} {/eq}

c. {eq}x = 2a + 2b {/eq}

d. {eq}x = \sqrt{a + b} {/eq}

Translating Words into Mathematical Equations:

In solving mathematical problems, we need to carefully understand the problem itself so that it could be correctly translated into mathematical words. From this, the problem could be solved correctly.

Answer and Explanation:

The problem states that {eq}x{/eq} is a quantity equal to the sum of the squares. This means that the elements making up {eq}x{/eq} should be squared first before adding up, therefore:

$$x = a^2 + b^2 $$

Therefore, the answer is {eq}\rm (a){/eq}.


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Translating Words to Algebraic Expressions

from Algebra I: High School

Chapter 8 / Lesson 17
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