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horsena [70]
3 years ago
10

Write -2i + (9 - 3i) - (6 - 10i) as a complex number in standard form. 3 - 5i 3 + 5i 3 + 16i 12 - 16i

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

Answer:

3 + 5i

Step-by-step explanation:

Given

- 2i + (9 - 3i) - (6 - 10i) ← distribute parenthesis

= - 2i + 9 - 3i - 6 + 10i ← collect like terms

= 3 + 5i

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Ymorist [56]

Answer:

Feet

Step-by-step explanation:

Inches and centimeters are really small, so it wouldn't be appropriate to measure it in those units. Miles are really long, so that to would not be appropriate.

5 0
3 years ago
A cylindrical swimming pool has a diameter of 20 feet and a height of 3.5 feet. How many gallons of water can the pool contain?
kvasek [131]

Answer:

The swimming pool will contain approx 8243\ gal of water.

Step-by-step explanation:

Given the swimming pool is in a cylindrical shape.

And the dimensions are 20\ feet diameter with a height of 3.5\ feet.

Also, 1\ ft^3 =7.5\ gal

First, we will find the volume of the swimming pool.

The swimming pool is in cylindrical shape.

So, the volume would be \pi r^2h

The height (h) is given as 3.5\ feet. To calculate radius (r) we will divide the diameter by two.

The radius of the cylinder would be \frac{20}{2}=10\ feet

Plug these values in the formula we get,

\pi r^2h\\=\pi\times 10^2\times 3.5\\=3.14\times 100\times 3.5\\=1099\ ft^3

Now, it is given 1\ ft^3 =7.5\ gal

So, 1099\ ft^3 =1099\times 7.5\ gal=8242.5\ gal

The swimming pool will contain approx 8243\ gal of water.

6 0
3 years ago
Help MOI Again PLEASE lol
Evgesh-ka [11]

Answer:

-5a + 20a +-4a - -6= -16

Answer- a= -2

Step-by-step explanation:

Hope this helps!

4 0
3 years ago
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Tan(x+y)=x. (2 3) , what is dy/dx
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Answer: dydx=2sec2(x)tan(x)

Step-by-step explanation:

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3 0
3 years ago
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