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Mathematics

1 answer:

Shalnov [3]3 years ago

6 0

Answer: C) 7.5 feet

Step-by-step explanation:

1. You know that the triangles are similar. Therefore, to calculte the lenght of her puddle (which is identified in the figure as <em>l</em> ), you can set up the following proportions:

$\frac{l}{5ft}=\frac{12ft}{8ft}$

2. Now, you must solve for <em>l. </em>Then you obtain that the result is:

$l=\frac{(5ft)(12ft)}{8ft}\\l=7.5ft$

3. The answer is the option C.

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Answer: Choice C. $x \ge -3$

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Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is $-3 \le x < \infty$ which can be simplified to $-3 \le x$ or $x \ge -3$