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s344n2d4d5 [400]
3 years ago
8

Please help! Will award brainliest. Simplify the expression -5+i/2i. Please show your work.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

(-5+i)/2i

multiply by i/i

(-5+i) *i = -5i +i^2 = -5i -1

2i*i = 2i^2 = 2(-1) = -2

(-1-5i)/-2

1/2 +5/2 *i

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Vedmedyk [2.9K]

Answer:

x = 15

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Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

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Find the midpoint of the segment with the given endpoints.
Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

given

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(x2,y2) = (-1,-3)

M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/4639731
  • brainly.com/question/4655616

#LearnwithBrainly

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x = 21

Step-by-step explanation:

Based on the inscribed angle theorem, we would have:

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Solve for x

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120 = 6x - 6

Add 6 to both sides

120 + 6 = 6x

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Divide both sides by 6

126/6 = x

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