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KiRa [710]
3 years ago
6

True or False

sqrt{2} " alt=" i^{2} = \sqrt{2} " align="absmiddle" class="latex-formula">?

Mathematics
2 answers:
ohaa [14]3 years ago
6 0

Answer:

False, i^2\neq \sqrt{2}

Step-by-step explanation:

i is defined as:

i=\sqrt{-1}

so i^2 must be:

i^2=(\sqrt{-1})^{2}

The square root and the squared power are inverse operations, so they cancel ech other

i^2=-1

so it is concluded that i^2 is not equal to \sqrt{2}, but instead is equal to -1

ivanzaharov [21]3 years ago
3 0
I hope this helps you

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Slope:<br> Y-intercept:<br> Equation:<br> is this graph proportional? _____
Rus_ich [418]

Answer:

Slope: 1

Y-Intercept: (0,4)

Equation: y=1x+4

Step-by-step explanation:

To solve for slope you need to pick 2 points on the graph (ex. 2,6 and 4,8 ), then you use the formula to find the slope.

For Y-Intercept you just look for where the line intercepts on the y-axis (ex. 0,4).

If the line doesn't touch the origin (0,0), then it isn't proportional.

For the equation it's y=mx+b or, if its proportional then y=mx. The Y-Intercept will always be <em>b</em>. The slope represents <em>m.</em> The <em>x </em>is the variable.

3 0
3 years ago
explain using an example why you need to multiply when converting from a larger unit to a smaller unit
ziro4ka [17]
Okay so let's say I wanted to change 100cm into mm
I would multiply 100 by 10 because there are 10 mm in a cm
so it would be 1000mm
for example :

500cm to mm
= 500*10
=5000 mm

I have included a picture to help!
hope this helps you!

4 0
4 years ago
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 95 km per hour faster than
andrew-mc [135]

Answer:

887 and 792 km per hour

Step-by-step explanation:

Lets call the first plane A and the second B

we know that: a=b+95

We can say that 3358=2b+(2b+190)<=A

When solved, we get 3168=4b

b=792 km per hour.

Go back to step two. A=b+95, so A=792+95=887 km per hour

The two planes rates are 887 km per hour and 792 km per hour.

8 0
3 years ago
Two cooks purchased plates and cups at the same store. The first cook bought 4 plates and 5 cups for a total of $25.25. The seco
Thepotemich [5.8K]
X=number of plates
y=number of cups

4x+5y=25.25

7x+3y=25.50

Add the two equations together:

11x+8y=50.75
11x=50.75-8y

x=\frac{50.75-8y}{11}

Plug x into the first equation:
4x+5y=25.25

4( \frac{50.75-8y}{11} ) = 25.25 

\frac{4(50.75-8y)}{11} = 25.25

\frac{203-32y}{11} = 25.25

203-32y = 277.75

-32y=74.75
32y=-74.45
y=2.34 (rounded to nearest hundredth)

The price of a plate is $2.34
5 0
3 years ago
Add and reduce 2 2/5 + 4 1/5​
Katarina [22]

Answer:

6 3/5 would become 33/5

Step-by-step explanation:

2 + 4 = 6

2/5 + 1/5 = 3/5

6 * 5 = 30

30 + 3 = 33

33/5

7 0
3 years ago
Read 2 more answers
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