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Finger [1]
4 years ago
11

Combine the like terms in the expression. Drag the item from the item bank to its corresponding match.

Mathematics
1 answer:
Elina [12.6K]4 years ago
3 0

 We will solve each expression step by step:
<span>

 Expression 1:
 -12x4 + 7x3 + 6x4 - 2x3
 x4 (-12 + 6) + x3 (7-2)
 -6x4 + 5x3
 Answer:
 5x ^ 3 - 6x ^ 4

 Expression 2:
 -5x3 + 7x4 + 4x4 - 8x3
 x4 (7 + 4) + x3 (-5-8)
 11x4 - 13x3
 Answer:
 11x ^ 4 - 13x ^ 3

 Expression 3:
 -2x4 - 10x3 + 4x4 - 2x3
 x4 (-2 + 4) + x3 (-10-2)
 2x4 - 12x3
 Answer:
 2x ^ 4 - 12x ^ 3

 Expression 4:
 15x3 - 15x4 + 13x4 - x3
 x4 (-15 + 13) + x3 (15-1)
 -2x4 + 14x3
 Answer:
 14x ^ 3 - 2x ^ 4

 Expression 5:
 7x4 - 15x3 + 12x3 - 2x4
 x4 (7 - 2) + x3 (-15 + 12)
 5x4 - 3x3
 Answer:
 5x ^ 4 - 3x ^ 3</span>
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3 years ago
What is the area of a trapezoid with coordinated (0.0), (1,3), (4,3), (2,0)? (no picture given)
Orlov [11]

The area of the trapezoid, to the nearest whole number is: D. 8 units²

<h3>What is the Area of a Trapezoid?</h3>

Area of trapezoid = 1/2(a + b)h, where:

  • h = height of trapezoid
  • a and b = lengths of the bases of the trapezoid.

Using the coordinates of the trapezoid, (0,0), (1,3), (4,3), (2,0), the points have been plotted on a coordinate plane as shown in the image attached below, and we have the following dimensions of the trapezoid:

  • h = 3 units
  • a = 3 units
  • b = 2 units

Area of the trapezoid = 1/2(a + b)h = 1/2(3 + 2)3

Area of the trapezoid = 7.5 ≈ 8 units²

Learn more about the area of trapezoid on:

brainly.com/question/1463152

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