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Kisachek [45]
3 years ago
6

Find the difference of the two complex numbers (2 + 5i) - (-6 + 3i)

Mathematics
1 answer:
Kryger [21]3 years ago
8 0

Answer:

Step-by-step explanation:

(2 + 5i) - (-6 + 3i)              Remove the brackets.

2 + 5i + 6 - 3i                    Collect like terms

2 + 6 = 8

5i - 3i = 2i

Answer 8 + 2i

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A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching i
taurus [48]

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

W = \frac{1}{2} kx^2\\\\W =  \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft

Therefore, the work done in stretching the spring is 8 lb.ft

8 0
3 years ago
Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?
Umnica [9.8K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
This rectangle has side lengths r and s.
quester [9]
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7 0
3 years ago
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
MA_775_DIABLO [31]

Answer:

A (0,3)

Step-by-step explanation:

The given trapezoid has vertices:

(0,6), (7,12), (7,9) and (0,12).

We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.

Note that the mapping for such a dilation is:

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(7,12)\to(3.5,6)

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Therefore correct choice is (0,3)

8 0
4 years ago
What does opposite rays mean (geometry)
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