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lara [203]
1 year ago
7

Simplify the expression 3(x+1)−2(3x+7) A −3x−11 B−3x−10 C−3x−8 D−3x+17

Mathematics
2 answers:
Anni [7]1 year ago
7 0
The answer is letter A -3x-11
mixas84 [53]1 year ago
6 0

Answer: A: -3x-11

Step-by-step explanation:

Factor: 3x +3 - 6x - 14 (negative of the second distribution).

Combine terms with x: 3x - 6x = -3x

Combine terms that don't have x: 3 - 14 = -11

Combine both: -3x - 11

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3 years ago
Give two different sequences of three transformations that would map PQR onto EFG given that PQR=EFG.
Gre4nikov [31]

9514 1404 393

Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

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<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

3 0
2 years ago
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2 years ago
Given the following statements, what conclusion can be drawn using the law of syllogism?
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( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

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dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

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Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

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