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Sunny_sXe [5.5K]
3 years ago
8

3. Consider the complex numbers z and w below. Find the difference z-

Mathematics
1 answer:
Rina8888 [55]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

------------------------------------------------------------

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

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*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
vovikov84 [41]

Answer:

A. 14 square units

Step-by-step explanation:

<em>Hey there :)</em>

Well let's find the area of each individual rectangles.

Let's start with the side rectangle.

It has dimensions of 5*1 = 5.

5 square units

Now the 3 rectangles left have dimensions of 3*1=3,

3*3 = 9.

5+9=14

14 square units

5 0
3 years ago
Read 2 more answers
9375 grams of radioactive material decays every hour in a geometric fashion. After 4 hours of decay, 15 grams of radioactive mat
Paladinen [302]

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value and b is the multiplicative factor.

Let y represent the amount of substance remaining after x hours. Hence:

a = 9375, at x = 4, y = 15:

15 = 9375(b)⁴

b = 0.2

y = 9375(0.2)ˣ

For the 7th hour, x = 7:

y = 9375(0.2)⁷ = 0.12

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

Find out more on Exponential function at: brainly.com/question/12940982

7 0
2 years ago
A cylinder has a height of 14 feet. Its volume is 12,704.44 cubic feet. What is the radius of the cylinder?
Alenkinab [10]
<h3 /><h3>V. Cylinder =  π . r² . h</h3>

12,704.44 = 3.14 × r² × 14

12,704.44 = 3.14 × 14 × r²

12,704.44 = 43.96 × r²

r² = 12,704.44/43.96

r² = 289

r = √289

r = 17

<h3>#CMIIW</h3>

3 0
3 years ago
Select the equation that is equivalent to the equation: y-3=2(x+5).
jeyben [28]
Y - 3 = 2(x+5)
y - 3 = 2x + 10
-3 - 10 = 2x - y
-13 = 2x - y

D) 2x - y = -13
6 0
3 years ago
Great Rapids White Water Rafting Company rents rafts for $125 per hour. Explain why the point (0,0) and (1,125) are on the graph
Gwar [14]

Answer:

$1500

6 hours

Step-by-step explanation:

There is no one off fee, therefore we got (0,0) a starting point.

(1,125) is representing the first hour of rent, so 1 hour rent costs $125.

There is a direct relationship between the time and rental fee.

<u>As a function is will be:</u>

  • f(x) = 125x, where f(x) is the total amount and x is the time in hours

<u>For x= 12, we get:</u>

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<u>So, if f(x) = 750, then:</u>

  • 750 = 125x
  • x= 750/125
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6 0
3 years ago
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