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First, solve for \( \left|z + 2\right| \):

\( \left|z + 2\right| \) + 4 = 8
\( \left|z + 2\right| \) = 8 - 4
\( \left|z + 2\right| \) = 4

The value inside the absolute value brackets can be either positive or negative so (z + 2) must equal + 4 or -4 for \( \left|z + 2\right| \) to equal 4:

So, z = -6 or z = 2.

To subtract these radicals together their radicands must be the same:

9\( \sqrt{112} \) - 9\( \sqrt{7} \)
9\( \sqrt{16 \times 7} \) - 9\( \sqrt{7} \)
9\( \sqrt{4^2 \times 7} \) - 9\( \sqrt{7} \)
(9)(4)\( \sqrt{7} \) - 9\( \sqrt{7} \)
36\( \sqrt{7} \) - 9\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 30 x \( \frac{55}{100} \) = \( \frac{55 x 30}{100} \) = \( \frac{1650}{100} \) = 16 shots

The center makes 50% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{16}{\frac{50}{100}} \) = 16 x \( \frac{100}{50} \) = \( \frac{16 x 100}{50} \) = \( \frac{1600}{50} \) = 32 shots

to make the same number of shots as the guard and thus score the same number of points.