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Finger [1]
3 years ago
9

Simplify the expression. Write the answer using scientific notation. (5x10^2)^-2

Mathematics
2 answers:
Basile [38]3 years ago
6 0
5^-2 x 10^-4 = .04 x 10^-4 = 4 x 10^-6
Gnoma [55]3 years ago
4 0
The answer is 25x10^-4

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Lydia graphed ADEF at the coordinates D (-2,-1), E (-2, 2), and F (0,0). She thinks ADEF is a right triangle. Is Lydia's asserti
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The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.

<h3>Right triangles </h3>

Right triangles have a pair of perpendicular lines

Coordinates

The coordinates are given as:

  • D = (-2,-1)
  • E = (-2,2)
  • F = (0,0)

<h3>Slopes</h3>

Start by calculating the slopes of lines DF and EF using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

m_{DF} = \frac{0 + 1}{0 +2}

m_{DF} = \frac{1}{2}

Also, we have:

m_{EF} = \frac{0 -2 }{0+2}

m_{EF} = \frac{-2 }{2}

m_{EF} = -1

For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.

i.e.

m_1 = -\frac{1}{m_2}

By comparison, the slopes of both lines are not opposite reciprocals.

Hence, the true statement is (c)

Read more about right triangles at:

brainly.com/question/17972372

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