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3 years ago

Which complex number does not lie on the line segment plotted on the graph?

Mathematics

1 answer:

Minchanka [31]3 years ago

3 0

Answer:

Notice that for 3 out of the 4 numbers, there is a relationship between the x and the y coordinate of the number; for 3+i, -2i, -2-4i we have that the real part is larger by 2 from the imaginary part. Thus, the points are on the same line in the imaginary plane; they satisfy x=y+2 or Re{z}=Im{z}+2. However, 2-4i does not satisfy this equation since 2 is not equal to -4+2. Hence, this point does not belong to the line that the other 3 points define.

Step-by-step explanation:

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Answer:

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4 years ago

. Your class is collecting bottled water for a service project. The goal is to collect 300 bottles of water. On the first day, M

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4 years ago

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4.63 clark's country pet resort is fencing a new play area for dogs. the manager has purchased 130 yd of fence to enclose a rec

lubasha [3.4K]

Let W and L be width and length of the rectangular pen respectively.

Therefore,
Circumference, C = 2W+2L= 130 yd
Area, A = LW = 1050 yd^2=> L = 1050/W

Using the circumference expression and substituting for L;
130 = 2W + 2(1050/W) = 2W+2100/W
130*W = 2W*W + 2100
130W = 2W^2 +2100
2W^2-130W+2100 = 0

Solving for W;
W= [-(-130)+/- Sqrt ((-130)^2-4(2)(2100)]/2*2 = 32.5+/- 2.5
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When W = 35, L = 1050/35 = 30

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3 years ago

What goes on the lines I don’t understand the problem

Elis [28]

Answer:

Step-by-step explanation:

a). Let the number of spoons = x

And number of forks = y

Total number of spoons and forks bought by Perry = 10

x + y = 10 --------(1)

Cost of one spoon = $5

Cost of one fork = $3

Therefore, total cost of x spoons and y forks = $(5x + 3y)

5x + 3y = 42 -------(2)

b). Now we can convert these equations into the slope-intercept form.

x + y = 10 ⇒ y = -x + 10

Table for input output values,

x 2 4 6

y 8 6 4

5x + 3y = 42

3y = -5x + 42

y = $-\frac{5}{3}x+14$

x 0 3 6

y 14 9 4

Point of intersection of these lines will be (6, 4).

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3 years ago