All categories

3 years ago

What is the value of the product (3 – 2i)(3 + 2i)?

2 answers:

7 0

The question follows the special product rule of polynomials.
(a-b)(a+b) = a^2 - b^2

From the given, (3-2i)(3+2i), then the answer will be 3^2 - (2i)^2
simplifying the answer:
9 - 4i^2

Take note that i = square root of -1
Then, i^2 = -1

So, 9 - (4 * -1)
= 9 - -4
= 13.

So the answer is 13.

skad [1K]3 years ago

7 0

Answer: D) 13

Step-by-step explanation:

You might be interested in

Two-fifths of the fish in Gary's fish tank are guppies.One-fourth of the guppies are red.What fraction of the fish in Gary's tan

DanielleElmas [232]

How many fish are there in all? We need that to answer the question.

7 0

3 years ago

Read 2 more answers

Kenny had 5/7 more trading cards than lee. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee.

svp [43]

Answer:

Step-by-step explanation:

Let X is the number of cards Kenny has

Let Y is the number of cards Lee has

1. Kenny had 5/7 more trading cards than lee, it means

X = Y + 5/7X (1)

2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:

X + 50%X = Y + 220 (2)

So, we solve the 2 equations to find out X and Y

$\left \{ {{X=Y + 5/7X} \atop {1.5X=Y +220}} \right.$

<=> X = $\frac{3080}{17}$ and Y = $\frac{880}{17}$

<=> X ≈181 and Y ≈ 52

6 0

3 years ago

How many 4-digit numbers can be made from the digits 2, 3, 4, 5, 6, 7 if no digit is repeated in the same number?

jonny [76]

THis equals the number of permutations of 4 from 6.

= 6P4 = 6! / (6 - 4)! = 6! / 2! = 720/2 = 360 answer

8 0

3 years ago

Simplify the expression. (3.5x - 5) + (7.2x + 10)

Andru [333]

Answer: 10.7x + 5

Step-by-step explanation:

(3.5 + 7.2)x + (-5 + 10) = 10.7x + 5

8 0

3 years ago

23mm,20mm,13mm sides and 62,72,46, angle what type of triangle is that

Readme [11.4K]

23 mm, 20mm, 13mm sides: No equal sides and No equal angles are characteristics of a Scalene Triangle.

62,72,46 angles : All angles are less than 90°, this means that the triangle is an acute triangle.

Based on the above information the triangle is an ACUTE SCALENE TRIANGLE.

4 0

3 years ago