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Scilla [17]
3 years ago
15

What is the midpoint between (-4 - 2i) and ( 6 + 8i) on the complex plane?

Mathematics
1 answer:
diamong [38]3 years ago
5 0
Add the real parts and the imaginary parts separately and divide each by 2


= (  \frac{ - 4 + 6}{2}  +   \frac{ - 2i + 8i}{2} )


= ( \frac{2}{2}  +  \frac{6i}{2} )


=(1+3i)

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Marysya12 [62]

Answer: The dimensions of the flower bed are,

39 ft, 57 ft and 78 ft.

Step-by-step explanation: Of the three sides, one side is twice the length of the shortest. Let the shortest side be labelled as b. That means one of the sides of the flower bed measures twice b, that is, 2b.

Also we are told that the third side measures 18 feet more than the shortest side, b. The third side can now be represented by b + 18.

So the triangle has sides

b, 2b and b + 18

If the perimeter is 174, then

b + 2b + (b + 18) = 174

b + 2b + b + 18 = 174

4b + 18 = 174

Subtract 18 from both sides of the equation

4b = 156

Divide both sides of the equation by 4

b = 39.

Therefore the shortest side of the triangle measures 39 ft while the other two sides measure 78 ft (twice the length of b) and 57 ft (18 ft more than the shortest side)

8 0
3 years ago
Which of the following expressions is equivalent to -9?
Ronch [10]

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Step-by-step explanation:

5 0
4 years ago
given FH with coordinates F(4,-5) and H(-8,19), if G lies on FH such that that the ratio of FG to FH is 1:6, find the coordinate
monitta

Answer:

  G = (2, -1)

Step-by-step explanation:

You want ...

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  H -F = 6(G -F)

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Substituting the given coordinates, we get ...

  G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6

  G = (2, -1)

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