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ivanzaharov [21]
3 years ago
11

Find the distance between 2-4i and d 6+i

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

How do you find the distance between two complex numbers?

For two points in the complex plane, the distance between the points is the modulus of the difference of the two complex numbers. (s − a)+(t − b)i = (s − a)2 + (t − b)2. So, d = (s − a)2 + (t − b)2 is the difference between the two points in the complex plane.

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Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure ont
Novay_Z [31]

Answer:

The answer is below

Step-by-step explanation:

A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.

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6 0
3 years ago
Solve the system of equations using the substitution method.
Firdavs [7]

y = -1 + 3/8x

2x - 5y = 6

Substitute the first equation into the second equation, since y is already by itself.

2x - 5(-1 + 3/8x) = 6

2x + 5 - 15/8x = 6

2x - 15/8x = 1

16/8x - 15/8x = 1

1/8x = 1 Multiply 8 on both sides to get x by itself

x = 8


Plug x into either of the equations.

y = -1 + 3/8(8)

y = -1 + 3

y = 2


2(8) - 5y = 6

16 - 5y = 6

-5y = -10

y = 2


(8,2)

8 0
3 years ago
Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.
Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

V=\pi r^2h

64=\pi r^2h

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

64=\pi r^2h

64=\pi r^2*2r=2\pi r^3

\pi r^3=64/2=32

Now, the volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius. From above, we know that \pi r^3=32, so we can plug this into the equation:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} *32=128/3

Thus, the answer is C.

4 0
3 years ago
Read 2 more answers
Mr. Jones is four times as old as his son. Six years ago he was ten times as old as his son. How old is the son now?
Advocard [28]

Answer:

After 16 years …mr James age =4X+16 and his son's age will be X+16

As per the question in 16 years his age will be 2 twice

(4X+16)=2(X+16)so by simplifying this we will get 2X=16..and X=16/2=8

Step-by-step explanation:

6 0
3 years ago
Which one is correct
Alexandra [31]

Answer:

i believe its false good Sir

6 0
2 years ago
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