All categories

3 years ago

Simplify 6 plus the square root of negative 80.

Mathematics

1 answer:

oee [108]3 years ago

4 0

Answer:

6 plus 4 i times the square root of 5

Step-by-step explanation:

The given statement can be written as:

6+√-80

To solve √-80 re-write -80 as -1 * 80

Now √-80 =√-1 * 80

Now we can write it as:

6+ √-1 * √80

We know that √-1 = i

Thus it becomes:

6+ i√80

Now find the square root of 80

80 does not have a perfect square root

Its square root can be found as 80 = 4*4*5

Then,

6+i√4*4*5

Notice that 4 makes a pair.. So we will write it outside the square root

6+1*4√5

We will write it as:

6+4i√5

Thus the correct option is 6 plus 4 i times the square root of 5....

You might be interested in

Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve

mr Goodwill [35]

Let $a_n$ be the n'th term of a sequence,

for example $a_1$ is the first term, $a_2$ is the second term and so on.
----------------------------------------------------------------------------------------------------
a sequence is arithmetic if the difference between any 2 terms is equal:

so an arithmetic sequence, for the first term = t, and the common difference = d, has the following form:

$a_1=t$

$a_2=t+d$

$a_3=t+d+d$

$a_4=t+d+d+d$

so clearly $a_n=t+d*(n-1)$
---------------------------------------------------------------------------------------------------
A sequence is geometric, if the ratio between any 2 consecutive terms is the same, and it is called the common ratio.

a geometric ratio with first term = t, and common ratio = r is:

$a_1=t$

$a_2=t*r$

$a_3=t*r*r$

$a_4=t*r*r*r$

thus clearly $a_n=t* r^{n-1}$
--------------------------------------------------------------------------------------------------

Part 1:

"<span>Jasmine practices the piano for __30___ minutes on Monday. Every day she ____increases_______ her practice time by ____5 minutes_____. </span>"

let $a_n$ be the number of hours Jasmine practices the n'th day,

for n=7, t=30, d=5 we have

$a_7=30+5*(7-1)=30+5*6=30+30=60$ ,

minutes is the time Jasmine practices on the 7the day.

Part 2

"<span>Anthony goes to the gym for ___60___ minutes on Monday. Every day he ___increases______his gym time by ____1/10_of the previous day_____. </span>"

if $S_n$ represents the minutes that Anthony goes to gym on the n'th day,

then

$S_1=60$

$S_2=60+1/10*60=10/10*60+1/10*60=11/10*60=1.1*60$

$S_3=1.1*1.1*60$

$S_4=1.1*1.1*1.1*60$

$S_5=1.1*1.1*1.1*1.1*60= (1.1)^{4}*60= 1.4641*60=87.85$
(minutes)

Part 3: it is clear that the formula that can be derived in Part 2 is:

$S_n=60*(1.1)^{n-1}$

so assume we want to find how many hours does Anthony spend in the gym on the 10th day,

then we calculate $S_10=60*(1.1)^{9}=60*2.358=141.5$ (minutes)

6 0

3 years ago

Approximate the logarithm using the properties of logarithms, given

nignag [31]

que representa Laos hombres con relacion al total

6 0

3 years ago

Find small b if A= 2358.85, h= 38.2 and B= 45.6

DedPeter [7]

Hope this is clear and helpful :)

3 0

3 years ago

What is 25 over 6 as a mixed number?

DaniilM [7]

4 1/6 is your answer because 6* 4 = 24 so then there is just one more left over which makes the 1/6

5 0

3 years ago

The figure shows the graphs of three functions. One is the position function of a car, one is the velocity of the car, one is it

Anika [276]

a) Is the twitch - initial positive twitch or sudden movement, which is what makes the car jolt into action.

b) is the acceleration - graph shows the acceleration and deceleration of the car.

c) is the velocity - starts at 0 and increases until the car travels at its right speed.

d) is the position - assuming that the car is going on only one direction. This graph is the only one that does not go back to the x-axis.

5 0

3 years ago