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olya-2409 [2.1K]
3 years ago
10

-32+8i divided by 5+3i

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Set up:

(-32+8i)/(5+3i) * (5 - 3i)/(5-3i)

Keep in mind that i^2 = -1.

Take it from here.

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Write a translation rule that maps point D(7, −3) onto point D'(2, 5).
12345 [234]

Answer:

The translation rule is described by D'(x,y) =(x-5,y+8).

Step-by-step explanation:

According to Linear Algebra, a translation consists in sum a given vector (original point in this case) with another vector (translation vector). We can define translation as follows:

D'(x,y) = D(x,y) +U(x,y) (Eq. 1)

Where:

D(x,y) - Original vector with respect to origin, dimensionless.

D'(x,y) - Translated vector with respect to origin, dimensionless.

U(x,y) - Translation vector with respect to original vector, dimensionless.

From (Eq. 1) we get that translation vector is:

U(x,y) = D'(x,y)-D(x,y)

If we know that D(x,y) = (7,-3) and D'(x,y) =(2,5), then the translation vector is:

U(x,y) = (2,5)-(7,-3)

U(x,y) = (-5,8)

And we find the translation rule by assuming that D(x,y) = (x,y) and U(x,y) = (-5,8) in (Eq. 1):

D'(x,y) = (x,y)+(-5,8)

D'(x,y) =(x-5,y+8)

The translation rule is described by D'(x,y) =(x-5,y+8).

5 0
3 years ago
Sandy is upgrading her Internet service. Fast Internet charges $40 for installation and $52.45 per month.
Orlov [11]

Answer:

After 8 months of internet use both the connection will cost the same.

Step-by-step explanation:

Fast Internet charges $40 for installation and $52.45 per month.

So, the total cost after using x months of the internet in Fast Internet will be  

C = 40 + 52.45x

Quick Internet has free installation but charges $57.45 per month.

So, the total cost after using x months of the internet in Quick Internet will be

C = 57.45x

Now, if those two cost are same then

40 + 52.45x = 57.45x

⇒ 5x = 40

⇒ x = 8

Therefore, after 8 months of internet use both the connection will cost the same. (Answer)

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Answer:

A

Step-by-step explanation:

Rectangular Pyramid

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Answer:

The answer to the first question is 2.449489743

Step-by-step explanation:

And I will sub to the channel in a min...

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Find the measure of ∠C to the nearest degree.
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