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qwelly [4]
3 years ago
7

What is the value of the product (3 – 2i)(3 + 2i)? A. 5 B. 9 + 4i C. 9 – 4i D. 13

Mathematics
2 answers:
UNO [17]3 years ago
3 0

Answer:

D. 13

Step-by-step explanation:

You can do the product in the straight-forward way ...

... (3 -2i)(3 +2i) = 3·3 +3·2i -3i·3 -(2i)(2i)

... = 9 +6i -6i -4i² . . . . . note the middle two terms cancel

Recognize that i = √-1, so i² = -1. Then the sum is

... = 9 -4(-1) = 9+4 = 13

_____

Your graphing calculator can do this product, too.

MArishka [77]3 years ago
3 0

Answer:

13

Step-by-step explanation:

3²-(2i)²

=9-(4*-1)

=9-(-4)

=9+4

=13

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The positive acute angle formed by the _____ side of an angle in standard position and the x-axis is called a reference angle.
Helga [31]

Answer:

option-C

terminal

Step-by-step explanation:

We know that

reference angle is between terminal side and x-axis

so, the other side will be terminal position

so, we can write as

The positive acute angle formed by the <u>terminal</u> side of an angle in standard position and the x-axis is called a reference angle.

So,

option-C

terminal

7 0
3 years ago
Jude factored 28x2 as (14x)(2x²).
Yuri [45]

Answer:

Only Jude

Step-by-step explanation:

To show 28 x 2  we show 14 x 2 x 2

The x would be cancelled out in this process so x *x would work to enable a product of 56.

8 0
4 years ago
What is the answer to 5 1/2 - 2/3
aniked [119]

To solve this problem, we first have to convert 5 1/2 into an improper fraction. To do this, we multiply the unit (5) times the denominator (2) and then add the numerator (1) to the product, while still keeping the same denominator.


(5 * 2) + 1 = 10 + 1 = 11/2


Now, this makes our expression: 11/2 - 2/3


Next, we have to find a common denominator for 2 and 3 by finding their shared LCM, or least common multiple. In this case, the LCM is 6. This means that we are going to convert both of the fractions in the expression into fractions with the denominator 6, so that we can easily compute the subtraction.


11 * 3 / 2 * 3 - 2 * 2 / 3 * 2


33/6 - 4/6


Now, we can simply subtract the numerators to find our final answer.


29/6


Your final answer is 29/6.


Hope this helps!



3 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!!!
vodka [1.7K]

Answer: i think it may be b

Step-by-step explanation:

7 0
3 years ago
Steve puts only dimes and quarters into his piggy bank. Right now he has five more dimes than quarters there, and they make $74.
professor190 [17]
D= number of dimes
q= number of quarters
(Keep in mind, it's not the price, but the number of each)
0.1d+0.25q=74.35
d=q+5
0.1(q+5)+0.25q=74.35
0.35q+0.5=74.35
0.35q=73.85
q=211
d=216
6 0
3 years ago
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