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ryzh [129]
2 years ago
12

How can the distributive property be used to find 4x875?draw an array.

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
6 0
Break apart the 875.
8 becomes 800 the 7 becomes 70 and 5 is just 5. Now x it by the 4
800x4=3200
70x4=. 280
5x4=. 20
-------
3500
Not sure how to show the array on here
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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.

__

<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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What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.
dangina [55]

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = \frac{x^2+6x+9}{3x+15}

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

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Vinil7 [7]

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Step-by-step explanation:

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kati45 [8]

1:13x-14

2:-6x+21

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4:5x+15

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6:-12n+17

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17:-42u+42

18:13u-7

8 0
2 years ago
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