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puteri [66]
3 years ago
5

Simplify 4(2x-3)+7 to see what it is equivalent to

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

8x -5

Step-by-step explanation:

4(2x -3 ) + 7

= 8x - 12 + 7

= 8x -5

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Bottom: 5*12 = 60

Left side and right side: 4*5 = 20, 2 sides so 20*2= 40

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Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

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2 years ago
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