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3 years ago

Rita is adding 3 + (negative 8) + 1. She rewrites the expression as 3 + (negative 1) + 8.

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

Rita cannot rewrite the equation like that

Step-by-step explanation:

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Match each quotient with its answer when expressed in the form of a + bi.

kykrilka [37]

There is a typo in the available options for this problem. BOTH options B and E are 3/25+4/25i. One of those options should be 3/25-4/25i. So check your problem carefully and be sure to select the correct answer.

1. D. 1 + 0i
2. A. -7/25 + 24/25i
3. B or E, 3/25 + 4/25i
4. F. 3-4i
5. B or E, 3/25 - 4/25i
6. C. -7/25 -24/25i

For this problem, you need to perform complex division, then select the matching answer from the available options. In order to perform a complex division, simply multiply the numerator and denominator by the conjugate of the denominator. The conjugate of the denominator is simply the denominator with the sign of the complex term inverted. So:
1. i/i
Let's rewrite as (0 + i)/(0 + i)
(0 + i)/(0+i) * (0 - i)/(0 - i)
= (0*0 + 0*i - 0*i - i^2)/(0*0 + 0*i - 0*i - i^2)
= (0 - -1)/(0 - -1)
= 1/1
= 1 + 0i which is option "D"

2. 3+4i/3-4i
3+4i/3-4i * 3+4i/3+4i
= (9 + 12i + 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (-7 + 24i) / 25
= -7/25 + 24/25i, which matches option "A"

3. 1/3-4i
1/3-4i * 3+4i/3+4i
= (3 + 4i)/(9 + 12i - 12i - 16i^2)
= (3 + 4i)/(9 - -16)
= (3 + 4i)/25

= 3/25 + 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 PLUS 4/25i.

4. 3-4i/1
3-4i/1 * 1/1 = 3-4i, which matches option "F"

5. 1/3+4i
1/3+4i * 3-4i/3-4i
= 3-4i/(9 + 12i - 12i - 16i^2)
= 3-4i/25
= 3/25 - 4/25i, which matches option "B" or "E". BE SURE TO SELECT THE
CORRECT OPTION. You want 3/24 MINUS 4/25i.

6. 3-4i/3+4i
3-4i/3+4i * 3-4i/3-4i
= (9 - 12i - 12i + 16i^2) / (9 - 12i + 12i - 16i^2)
= (9 - 12i - 12i + -16) / (9 - 12i + 12i - -16)
= (-7 - 24i) / 25
= -7/25 -24/25i, which matches option "C"

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4 years ago

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Help please ASAP!!!!

seraphim [82]

The third one should be correct, “IMO” if the second person that answers agrees it’s 100%, I’ve had a question similar but I’m not sure exactly.. sorry tho, please lmk if somethings wrong “I will reply I’m not like those kids trying to get coins”

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3 years ago

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Judy will use 2 1/2 cups of flour for each cake she bakes. Judy has 10 cups of flour. What is the maximum number of cakes Judy c

horsena [70]

Answer:

4 cakes

Step-by-step explanation:

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3 years ago

Jonathon and Samantha row their canoe 28 miles downstream in 2 hours. After a picnic, they row back upstream. After 3 hours the

dangina [55]

Answer: the speed at which Jonathon and Samantha can row in still water is 9 mph

Step-by-step explanation:

Let x represent the speed of the canoe in still water.

Let y represent the speed of the river's current.

Jonathon and Samantha row their canoe 28 miles downstream in 2 hours. Assuming they rowed with the current, the total speed would be (x + y) mph

Distance = speed × time

Distance travelled downstream is expressed as

28 = 2(x + y)

Dividing through by 2, it becomes

14 = x + y - - - - - - - -1

After a picnic, they row back upstream. After 3 hours they only travel 12 miles. Assuming they rowed against the current, the total speed would be (x - y) mph

Distance travelled upstream is expressed as

12 = 3(x - y)

Dividing through by 3, it becomes

4 = x - y - - - - - - - -2

Adding equation 1 and equation 2, it becomes

18 = 2y

y = 18/2

y = 9 mph

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3 years ago

What is 5 to the second power plus 2 the the fifth power plus 1

Flura [38]

The answer is 58 .

5x5=25
2x2x2x2x2=32
25+32=57
57+1=58

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3 years ago

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