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Trava [24]
3 years ago
9

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

3 + i) + (18 + 5i)?
(–3 + i) + (18 + 5i) + 0
–3 + (i + 18) + 5i
(–3 + 18) + (i + 5i)
–(3 – i) + (18 + 5i)
Mathematics
2 answers:
neonofarm [45]3 years ago
6 0

The answer would be (-3+18) + (i +5i)


This is because changing the order of the numbers does not change the sum

katrin [286]3 years ago
4 0

Answer:

Short answer is C.

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Answer:

  • x = 15/p
  • x = -3

Step-by-step explanation:

<h3>Given</h3>
  • 4(px + 1)=64
<h3>Find</h3>
  • Solve for x
  • Find x when p = -5
<h3>Solution</h3>
  • 4(px + 1) = 64
  • 4(px + 1)/4 = 64/4
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<u>When p = -5, substitute p:</u>

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Answer:

  16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))

  17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))

Step-by-step explanation:

We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)

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c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).

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<em>Additional comment</em>

If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.

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