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faust18 [17]
3 years ago
7

a bookshelf is 17 inches wide. there is enough room for 2 trophies. one trophy is 5 inches wider than the other. how wide is eac

h trophy
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0
We need to compute for the length of each trophy given that one trophy is 5 inches wider than the other.
Let x be the length of the first trophy.
Let x+5 be the length of the second trophy
The solution is shown below:
x + (x + 5) = 17
x + x + 5 =17
2x =17 -5
2x = 12
x = 12/2
x=6 (for the first trophy)
x + 5 = 6+5 = 11 (for the second trophy)

The first trophy is 6 inches wide while the second trophy is 11 inches wide.
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Complete Question: Which of the following is an example of the difference of two​ squares?

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Answer:

A. x^2 - 9.

Step-by-step explanation:

An easy way to spot an expression that is a difference of two squares is to note that the first term and the second term in the expression are both perfect squares. Both terms usually have the negative sign between them.

Thus, difference of two squares takes the following form: a^2 - b^2 = (a + b)(a - b).

a² and b² are perfect squares. Expanding (a + b)(a - b) will give us a^2 - b^2.

Therefore, an example of the difference of two squares, from the given options, is x^2 - 9.

x^2 - 9 can be factorised as x^2 - 3^2 = (x + 3)(x - 3).

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We will calculate this by using ratios and because these two triangles are similar, which is very important.

Explanation:

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2 years ago
What should I do ? Where it’s say ‘ start here ‘?
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