SAT High School

(5-7i+i²) + (8i³+12)
The complex expression above is equivalent to the expression a+bi, for the integer constants a and b. What is the value of a?


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Answers

Answer 1

Answer:

16-15i

Explanation:

(5-7i+i²) + (8i³+12)

i²= -1 and i³=-i, so we can substitute those in and rewrite the equation as

(5-7i-1) + (-8i+12)

We can now drop the parentheses because there is no multiplication or distribution involved.

5-7i-1 + -8i+12

And just rearrange the order of the terms to make it easier to combine like terms. Just remember to keep negative signs with the correct terms.

5-1+12-7i-8i

And now combine like terms

16-15i

Related Questions

PLS HELP WILL GIVE BRAINLIEST Steve is whirling a rubber cork, tied with a string to his finger, over his head as shown in the figure. The motion of the cork is similar to the motion of a planet in the Solar System around the sun. Which force of the Solar System is similar to the tension of the string?

Answers

Answer:

Gravitational

Explanation:

It's the sun's gravity that pulls the planets to keep them in that orbit just like the cork staying in place

III.
The analogies below are word problems that consist of two word
pairs. Look at the first pair and decide how the two words relate to
each other. Then select one of the words below so the second pair of
words has the same relationship.
1. CORRUPT. MORALS
A) talented : skall B) rude intelligence C) fortunate money D) ruthless: mercy​

Answers

Answer:

D

Explanation:

Describe how a continental divide affects the direction of water flow over land

Answers

Answer:Each river system feeds into a distinct ocean, bay, or sea.Generally, precipitation that falls on one side of the divide will flow to one basin and precipitation that falls on the other side will flow to another basin

Some colleges are selective because:
A. they are located in metropolitan areas.
B. they do not spend time reviewing applications as thoroughly.
C. they have a high number of applicants and a limited number of
spots.
D. only a small number of students apply to them.

Answers

Answer: A.

they have a high number of applicants and a limited number of spots.

Explanation:

Some colleges are selective because they have a high number of applicants and a limited number of spots. Thus option C is appropriate.

What is College?

College is the term used to describe a higher education institution, particularly one that focuses on general or liberal arts education as opposed to technical or professional training.

The chance to make a difference in your community and boost professional security and satisfaction are two reasons that college is crucial. Your ability to succeed in the workforce of today may depend on your college education.

Students may experience extreme stress when selecting a college. Because they get a large number of applications and have a small number of openings, some universities are selective.

Therefore, option C is appropriate.

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All of the following are examples of prohibited behavior when taking the ACT except
A.going ahead in the test booklet
B.Looking back on a test when time has been called
C. Using cell phones during the break
D. Raising your hand to ask a question

Answers

Answer: D. Raising your hand to ask a question.

Explanation: common sense like cmon

All of the following are examples of prohibited behavior when taking the ACT except, raising your hand to ask a question, hence option D is correct.

What is prohibited behavior?

Revealing exam questions or answers in full or in part, at any time or in any manner, including through social media. using a calculator that is not permitted (act.org/calculator-policy.html). using a calculator for any section of the exam besides math. A calculator that is shared with another person.

Prohibited Behavior states any kind of group of observing behaviors that are deemed illegal or that create a threatening, unsafe or insecure environment for other participants.

You can use cell phones during the break, but turn off the device when you enter the test room.

Therefore, option D is correct.

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Which statement correctly compares the speed of light?

Answers

Answer:

the speed of light in glass is slower than the speed of light in space

Answer: The speed of light in glass is slower than the speed of light through space.

Explanation:

If Adam eats 95 apples a day. How many times does he use the restroom in a week?

Answers

Answer:

ummm is there anything else and whyyyyy? is this a math problem????? Probably. I think that many apples would very negatively impact his health.

Answer:

LOL you okay, Adam? I think he'd better check up on his friend Johnny Appleseed too in case... q(≧▽≦q) He must REALLY hate the doctor... (an apple a day keeps the doctor away!)

Explanation:

He probably uses the restroom like at least 10-15 times each day, assuming he isn't dead at this point. I don't really know the science.... (Pro tip: take some laxatives, boi)

Adam has to have a LOT of time to eat those apples... and to go poop.

Make another comparison. Earth’s outer layer is like _____ because

Answers

The collier and more rigid than the deep mantle


Explaination:

Of the 310 students who watched a soccer match at college, 20 more students walked to the field than rode bicycles. If all students either walked or rode bicycles to the field, how many students walked?

Answers

Answer:

20

Explanation:

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