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

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:

Among fatal plane crashes that occurred during the past 65 years, 374 were due to pilot error, 51 were due to other human error, 659 were due to weather, 565 were due to mechanical problems, and 90 were due to sabotage. Construct the relative frequency distribution. What is the most serious threat to aviation safety, and can anything be done about it?

Answers

Mechanical problems since they can be solved and have the second most deaths. I would have the plane go through at least 3 examinations before boarding then one passenger exam before takeoff.

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:

The authors use the phrase "ground "Truth" with a capital "T"" (lines
51-52) in order to
A
argue that field measurements should be given up
in order to focus exclusively on LIDAR
measurements.
illustrate the impossibility of ever gaining accurate
and usable measurements from either fieldwork or
LIDAR.
defdied the idea that LIDAR measurements are
inherently more accurate than measurements
obtained via fieldwork.
note the excessive faith scientists have put in the
accuracy of field-survey estimates.

Answers

Answer:

The answer, is: A specific type of measurement.

Explanation:

Because... ground Truth, means... to always be in the moment and use the technique grounding and to be truthful.

The authors use the phrase "ground "Truth" with a capital "T"  in order to argue that field measurements should be given up in order to focus exclusively on LIDAR measurements.

The correct answer is A

What is truth?

The truth is the fact which is true to all the specific type of measurement.

"ground Truth", means one has to always be in the moment and use the technique grounding to be truthful.

So, argue that field measurements should be given up in order to focus exclusively on LIDAR measurements.

Thus, the correct answer is A

Learn more about truth.

https://brainly.com/question/18994288

#SPJ2

whats a Gliding Joint

Answers

Answer:

Explanation:

Gliding joint (plane joint or planar joint,) is a synovial joint formed by two flat bones surfaces joined together by ligaments. This allows for flexibility in any direction along the bone such as sliding, twisting, bending, stretching and circular (rotation) movements. The synovial fluid between the bone surfaces reduces friction at the joint.This type of joints can be found in the human body at the wrist, foot, palm, ankle.

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