All categories

3 years ago

How to simplify i^2 with all steps and the answer

Mathematics

1 answer:

liq [111]3 years ago

3 0

Well.. I'm not sure if I remember this correctly but doesn't "i" represent the square root of -1? Therefore if you square a square root, they cancel out and you're left with -1 as your answer.

Steps would be to:
change "i" to the square root of -1
put the exponent 2 outside of that
cancel the square root and the exponent
answer= -1

You might be interested in

at a certain time of day, a tree that is X meters tall casts a shadow that is x-34 meters long. if the distance from the top of

stiv31 [10]

Try reviewing your lesson and use symbolab.com a lot of tools on that website that could help you out with this problem

8 0

2 years ago

Solve the differential equation 3ydx+(xy+5x)dy=0

Brrunno [24]

The ODE is separable:

$3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx$

Integrating both sides gives

$\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C$

4 0

3 years ago

Read 2 more answers

Which proportion can be used to show that the slope of JL is equal to the slope of MP

Ilya [14]

Answer:

See below and attached

Step-by-step explanation:

As per the graph we have:

Coordinates of JL are J(-7, 4), L(-4, 0)

Coordinates of MP are M(-10, 8), P(-1, -4)

Slope formula is:

m = (y₂ - y₁)/(x₂ - x₁)

Slope of JL:

(0 - 4)/(-4-(-7)) = - 4 / 3

Slope of MP:

(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

5 0

3 years ago

-(x+6)-12=36 help me! Please

zmey [24]

Answer:

x=42

Step-by-step explanation:

-(42+6)-12=36

-(48)-12=36

48-12=36

hope this helps

4 0

3 years ago

A plant manufactures part whose lengths are normally distributed with a mean of 16.3 centimeters and a standard deviation of 2.5

EastWind [94]

The probability that the plant manufactures a part between 10.8 and 12.8 centimeters 13%

<h3>How to find the probability that the part is between 10.8 and 12.8 centimeters</h3>

The probability is solved z scores, this measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

Definition of variables

mean, μ = 16.3 centimeters

standard deviation, σ = 2.5 centimeters

X = 10.8 and 12.8 centimeters

z score, z

substituting into the formula

for X = 12.8 centimeters

= (X - μ) / σ

= (12.8 - 16.3) / 2.5

= -1.4

the p value for z of -1.4 = 0.161513

for X = 10.8 centimeters

= (X - μ) / σ

= (10.8 - 16.3) / 2.5

= -2.2

the p value for z of -2.2 = 0.027807

the probability is calculated as below

0.161513 - 0.027807= 0.133706

= 0.13

=13%

Learn more about standard deviation at:

brainly.com/question/28948351

#SPJ1

8 0

1 year ago