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Klio2033 [76]
3 years ago
7

5x - 4 = -3x + 12. Solve for x

Mathematics
1 answer:
leva [86]3 years ago
7 0

5x - 4 = -3x + 12.

move -3x to the other side

sign changes to +3x

5x+3x-4= -3x+3x+12

5x+3x-4= 12

move -4 to the other side

sign changes to +4

5x+3x-4+4= 12+4

8x= 16

divide by 8 for both sides

8x/8= 16/8

x= 2

Answer: x= 2

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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
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The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

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The area of the rectangle is then represented as:

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So, the total area of the figure is:

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This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

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Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

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Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0
2 years ago
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the
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Given

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