Answer:x = 1
Step-by-step explanation:
3x + x/4 = x + 3/4
Subtract x from each side
2x + x/4 = 3/4
Times each side by 4
The 4 beneath the x cancels out
3/4 x 4 = 3
2x + x = 3
3x = 3
Divide each side by 3
x = 1
Answer:
The last graph best represents the story
Step-by-step explanation:
Mary left for school from rest. So the initial speed is zero.
So we start from the origin and draw a straight line with a positive slope to running, that is as time increases , distance covered also increases.
When she is resting, her speed is zero so we draw a horizontal line to indicate this second phase of her journey.
After resting she still continued her journey to school.
This part also has a positive slope.
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.
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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))
