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Mathematics

1 answer:

ankoles [38]3 years ago

6 0

Problem 1) We need exactly one unit tile (the smallest square tile) to fill up the empty space to make a completed rectangle. In this case it would be (x+2)^2 = x^2+4x+4

Problem 2) The answer here is choice B since (x+3)^2 expands out to x^2+6x+9. Tacking on a "-6" will take the +9 down to +3. In other words, x^2+6x+9-6 = x^2+6x+3

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Leokris [45]

Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6

Step-by-step explanation:

Since we have given that

y varies directly as x.

If y = 18, when x = 5.

So, we need to find the value of y when x is 11.

According to question, we get that

$\dfrac{y}{x}=\dfrac{18}{5}=\dfrac{y}{11}\\\\18\times 11=5y\\\\198=5y\\\\\dfrac{198}{5}=y\\\\y=39.6$