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:

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

You might be interested in

If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3

xeze [42]

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation $\sqrt[3]{x}$ maps onto $\sqrt[3]{x+4} -3$ . Take f(x) = $\sqrt[3]{x}$ and f(x+4)= $\sqrt[3]{x+4}$ .

f(x) = $\sqrt[3]{x}$

f(x+4)= $\sqrt[3]{x+4}$

f(x+4) - 3= $\sqrt[3]{x+4}$ - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

Learn more about parent function here

brainly.com/question/7154028

#SPJ4

7 0

2 years ago

Activity 1<br>Calculate the following:<br>1. 68% of 418,

il63 [147K]

Answer:

284.24

Step-by-step explanation:

by multiplying 0.68 to 418 we get 68% of 418