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3 years ago

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Consider the statement: 4-3+5=-6+8+4. This is a mathematically correct sentence. Is the stenence true or false? Explain how you

know.

1 answer:

olganol [36]3 years ago

6 0

If 4 - 3 + 5 = -6 + 8 + 4 is a mathematically correct statement, then both sides should end up with the same number:

4 - 3 + 5 = -6 + 8 + 4 <em>Original statement.</em>

1 + 5 = -6 + 8 + 4 <em>You can do this in any order, but I start by doing the 4 - 3.</em>

6 = -6 + 8 + 4 <em>Finish simplifying the left side.</em>

6 = 2 + 4 <em>Combine the -6 and 8.</em>

6 = 6 <em>Finish simplifying the right side.</em>

Because both sides are equal to each other, the sentence must be true.

Therefore, the sentence is true because when simplified, the statement is 6 = 6.

<em>Hope this helps! :)</em>

<u><em>EDIT: Just incase anyone is curious, both this way and the way the other guy used both work, as they both prove that both sides are equal.</em></u>

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Step-by-step explanation:

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2 years ago

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2 years ago

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2 years ago

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What is the argument of -5\sqrt{3}+ 5i?

Shtirlitz [24]

Answer:

150 degrees

Step-by-step explanation:

Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.

So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length $5\sqrt{3}$ . The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

So the opposite side of the complementary angle is 5.

The adjacent side of the complementary angle is $5\sqrt{3}$ .

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$\theta=30$

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2 years ago