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

Mathematics

1 answer:

Rina8888 [55]2 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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<Q and <R are complementary angles. If m<Q = (31 - 3x)° and m<R = (19x - 5)°, find m<R

Amanda [17]

31-3x+19x-5=90

26+16x=90

-26 -26

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

16x= 64

16x/16= 64/16

x=4

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3 years ago

Read 2 more answers

Fred bought 4 liters of liquid laundry detergent 3,250 ml of fabric softener and 2.5 liters of bleach

Artist 52 [7]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
PLEASE SEE ATTACHED IMAGE.
For this case, the first thing we will do is take into account the following conversion of units:
1L = 1000mL
Applying the conversion we have:
liquid laundry detergent: 4L = 4000mL
Fabric softener: 3.250L = 3250mL
bleach: 2.5L = 2500mL
We now verify the options:

4a. Fred bought 75 milliliters more fabric softener than bleach. True or False
3250-2500 = 750 mL
Answer: False.

4b. Fred brought 1.75 liters more laundry detergent than bleach. True or False
4-2.5 = 1.5L
Answer: False.

4c. Fred brought 750 milliliters more fabric softener than bleach. True or False
3250-2500 = 750 mL
Answer: True.

4d. Fred brought 150 milliliters more laundry detergent than bleach. True or False
4000-2500 = 1500mL
Answer: False.

4e. Fred bought 0.75 liters more laundry detergent than fabric softener. True or False
4-3.250 = 0.75L
Answer: True.