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Sauron [17]
2 years ago
13

What is the product of the complex numbers (-3i+4) and (3i+4)?

Mathematics
2 answers:
Nataly_w [17]2 years ago
5 0

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

vladimir1956 [14]2 years ago
4 0

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

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What number is 60% of 85
ZanzabumX [31]
If you would to solve 60% of 85 is what number, you can calculate this using the following steps:

60% of 85 is x
60% * 85 = x
x = 60% * 85 = 60/100 * 85 = 51

Result: 60% of 85 is 51.
8 0
3 years ago
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Which of the following best explains why tan5π/6 ≠ tan5π/3​
Kobotan [32]

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°

300° is in the fourth quadrant

The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.

∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°

150° is in the second quadrant

The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.

∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.

tan (5π/3) = - tan(60°) = - √3

tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

If correct please give brainliest

<em>Stay safe and healthy</em>

Thank You

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Answer:

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Step-by-step explanation:

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Viktor [21]

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Step-by-step explanation:

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