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3 years ago

Can you please help me simplify (1+4i)^2

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

(1+4i)2=1+8i+16i2

Since

i2=−1

the given expression becomes:

1+8i−16=−15+8i

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The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the spee

adoni [48]

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

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

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16 (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20 (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

4 0

3 years ago

Uh could someone help me on this please?

sukhopar [10]

Answer:

39×99=3861.

85×43+43×15=4300

8 0

3 years ago

Read 2 more answers

PLEASE HELP I NEED TO PASS <br> “Find g(6) when g(x)=2x-16”

Annette [7]

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

3 0

3 years ago

Read 2 more answers

James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Si

cupoosta [38]

Answer:

Part 1) see the procedure

Part 2) $4.95x+49.95 < 9.95 x$

Part 3) $x > 9.99\ months$

Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

Step-by-step explanation:

Part 1) Define a variable for the situation.

Let

x ------> the number of months

y ----> the total cost monthly for website hosting

Part 2) Write an inequality that represents the situation.

we know that

Site A

$y=4.95x+49.95$

Site B

$y=9.95x$

The inequality that represent this situation is

$4.95x+49.95 < 9.95 x$

Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B

$4.95x+49.95 < 9.95 x$

Subtract 4.95x both sides

$4.95x+49.95-4.95x < 9.95 x-4.95x$

$49.95 < 5x$

Divide by 5 both sides

$49.95/5 < 5x/5$

$9.99 < x$

Rewrite

$x > 9.99\ months$

Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.

The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months

4 0

4 years ago

10 Write the fraction two different ways.

Cerrena [4.2K]

Answer:

-0.8, -77%

Step-by-step explanation:

These have been rounded up by the way,

I converted it to decimal and percent form

5 0

3 years ago