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leonid [27]
3 years ago
12

A segment in the complex plane has a midpoint at −1.5 + 3.5i. If one endpoint of the segment is at 4 + 6i, what is the other e

Mathematics
2 answers:
Reika [66]3 years ago
8 0

THe answer is -7+1i.

I just did the assignment as well, hope this helps!

viva [34]3 years ago
4 0

Answer:

Other endpoint will be (i - 7).

Step-by-step explanation:

A segment in the complex plane has a midpoint at (-1.5 + 3.5i).

If one end point of the segment is at (4 + 6i) then we have to find other endpoint.

Let the other endpoint is x.

As we know midpoint x' of a segment having two endpoints a and b is represented by

x=\frac{a+b}{2}

So -1.5 + 3.5i=[\frac{x+(4+6i)}{2}]

-3+7i=x+(4+6i)

x = -(4 + 6i) + (-3 + 7i)

x = -4 - 3 - 6i + 7i

x = (i - 7)

Other endpoint will be (i - 7)

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Answer:

<h3>           m∠BAC = 80° </h3>

Step-by-step explanation:

m∠BCD = 145°  ⇒  m∠BCA = 180° - 145° = 35°

From ΔABC:

                    m∠ABC + m∠BCA + m∠BAC = 180°

                         65° +  35° + m∠BAC = 180°

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5 0
3 years ago
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-Dominant- [34]

Answer:

a. N=25

b. X[bar]= 60.52

c. Y[bar]= 106.72

d. SSx= 115.24

e. ∑X*∑Y = 4036684

f. SSxy= 202020.3296

g. √(SSx*SSy)= 449.46

Step-by-step explanation:

Hello!

Using the attached data you need to calculate some statistics.

a) N

The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.

b.

The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52

∑X is listed in the second table.

c.

The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72

∑Y is listed in the second table.

d.

Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24

e.

∑X*∑Y =1513*2668= 4036684

f.

SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296

g.

√(SSx*SSy)= √(115.24*1753)= 449.46

I hope you have a SUPER day!

3 0
3 years ago
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olga2289 [7]

Answer:

The team made x<u><</u>53 points total.

Step-by-step explanation:

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3 0
3 years ago
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