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mestny [16]
4 years ago
14

1+9i and 5-3i midpoint​

Mathematics
1 answer:
Karo-lina-s [1.5K]4 years ago
6 0

Answer:

3+3i

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two complex numbers (a+bi) and (c+di) points is equal to

(\frac{a+c}{2})+(\frac{b+d}{2})i

we have

(1+9i) and (5-3i)

substitute the given values

(\frac{1+5}{2})+(\frac{9-3}{2})i

3+3i

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use an equation to write each fraction as multiple of unit fraction 1/6 + 1/6 + 1/6 + 1/6 + 1/6 how do you get to 5/6
weeeeeb [17]

Answer:

Equation: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 5/6

Step-by-step explanation:

Unit means 1

Therefore a each 1/6 is the multiple unit of 5/6 because if we had all the 1/6 together, you get 5/6. There is 1 over 6 which you can tell that it is a unit fraction.

8 0
3 years ago
If measure FG = 120° and measure EH = 94, what is measure angle EPH?
tankabanditka [31]

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

5 0
3 years ago
Read 2 more answers
How do I find this help please
KIM [24]
Area of the sector = 1/2 * r^2 * theta where theta is the angle subtended by the arc at the center  ( in radians)

In this case m < theta = 360 - 235 = 125 degrees or  2.182 radians

So, the area of shaded area = 1/2 * 20^2 * 2.182 =   436.4 in^2
8 0
4 years ago
4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7
Natasha2012 [34]
8 people each buy 7 so, 8 x 7 = 56
She needs to sell 60:
60 - 56 = 4
Katy is 4 away from selling 60.
5 0
3 years ago
Light travels at approximately 2.998*10^5 kilometers per second. There are 6.048*10^5 seconds in one week. About how many kilome
BartSMP [9]

Answer:

okay, you have pay special attention to time.i.e 60secs = 1 minute, 60 minutes = 1 hour, 24 hours in one day, and 7 days in one week. No. of seconds in one week we are told is 6.1048 x 10 ^5 seconds.  

Step-by-step explanation:

s = d/t [ speed = distance/time]

therefor, rearranging, we get d = s x t

Since speed = 2.998*10^5 Km/s and time = 6.048^10^5

d = (2.998 x 10^5) x (6.048 x10^5) = (2.998 x 6.048) x 10 ^(5+5)

d = 18.131904 X 10^10 km

d = approximately 18.132 x 10^10 km (to 3 decimal places)

6 0
3 years ago
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