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kirill [66]
3 years ago
13

Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:

(-4, -1/2)

Step-by-step explanation:

Just by looking at the graph I can estimate that the midpoint of AB is (-4, -1/2) but we can also use midpoint formula to get a for sure answer.

Midpoint Formula: <em>((x1 + x2)/2, (y1 + y2)/2)</em>

x: (-5 + (-3))/2

   -8 / 2

x = -4

y: (-4 + 3)/2

   -1 / 2

y = -1/2

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Answer:

The simplest radical form is 9\sqrt{5} ⇒ (c)

Step-by-step explanation:

To simplify any square root;

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<em><u /></em>

<em><u>Examples:</u></em>

1. Simplify \sqrt{8}

factorize 8 using prime numbers

8 = 2 × 2 × 2, then \sqrt{8}=\sqrt{(2)(2)(2)}

Take two of 2 out the root, then \sqrt{8}=2\sqrt{2}

2. Simplify \sqrt{18}

factorize 18 using prime numbers

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Take the two 3 out the root, then \sqrt{18}=3\sqrt{2}

Let us simplify 3\sqrt{45}

∵ 45 = 3 × 3 × 5

∴ 3\sqrt{45}=3\sqrt{(3)(3)(5)}

→ Take the two 3 out by one 3

∴  3\sqrt{45}=3(3)\sqrt{5}

→ Multiply the numbers out the root

∴ 3\sqrt{45}=9\sqrt{5}

∴ The simplest radical form is 9\sqrt{5}

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