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BigorU [14]
3 years ago
9

Simplify the expression to a + bi form: (9+7i)(6 + i)

Mathematics
2 answers:
abruzzese [7]3 years ago
7 0

Answer:

47+51i

Step-by-step explanation:

(9+7i)(6+i)

54+42i+9i+7i^2 where i^2=-1

54+42i+9i+7(-1)

54+51i-7

54-7+51i

47+51i

Please mark me as Brainliest if you are satisfied with the answer.

Scorpion4ik [409]3 years ago
6 0

(9 + 7i)(6 + i) \\  = 54 + 9i + 42i + 7 {i}^{2}  \\  = 54 + 51i  - 7 \\  = 47 + 51i

I hope I helped you^_^

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3 years ago
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The height of one solid limestone square peer amid is 24 m. A similar solid limestone square peer med has a height of 30 m. The
aliya0001 [1]
I think what you meant here is that the limestone is in a shape of a square pyramid. Knowing the shape, we must also know the formula for its volume:

V=s²h/3, where
s is the side of the square base
h is the vertical height of the pyramid

First, you find the area of the base s² from the known volume of the larger pyramid.

16,000 = s²(30)/3
s² = 1,600

Then, assuming both pyramids have equal areas of bases, we can use this value for the smaller pyramid. We can determine its volume to be
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2 years ago
Select all the relations that represent a function.
nydimaria [60]

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Step-by-step explanation:

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4 0
3 years ago
A compression wave is moving away from an explosion at 100 ft/sec. How fast is the volume within the spherical compression wave
stepladder [879]

The volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.

<h3>Volume of a sphere</h3>

Given:

dr/dt=100 ft/sec

When: t=4 seconds, radius(r)=400ft

Hence:

Volume of a sphere (V)=4/3πr³

dv/dt=4/3π.3r² dr/dt

dv/dt=4πr²dt/dr

When t=4 seconds

dv/dt=4π×(100×4)²×100 cubic ft/sec

dv/dt=4π×(400)²×100 cubic ft/sec

dv/dt=64000000π cubic ft/sec

Therefore the volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.

Learn more about Volume of a sphere here:brainly.com/question/22807400

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