Answer:
B. 4.29
Step-by-step explanation:
a. Distance moved by effort = 1 meter
b. Work done by effort = 80 Joules
c. Losses in energy = 18 Joules
<h3>How to determine the parameters</h3>
a. Note that velocity ratio is defined as the ratio of a distance through which any part of a machine moves to the distance moved by its parts
Velocity ratio = distance moved by the effort/distance moved by the body
Where velocity ratio = 5
vertical distance = 20cm
Distance moved by effort = 5 × 0. 20 = 1 meter
b. Formula for work done is given as ;
Work done = Effort × distance moved by effort
Work done = 80 × 1
Work done = 80 Newtons
c. First, let's find the work output
Work output = m g h
Work output = 50 × 9.8 × 0. 20
Work output = 98 Joules
Losses in energy = Work output - work done
Losses in energy = 98 - 80
Losses in energy = 18 Joules
Learn more about work done here:
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Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
Answer:
$-19.35 or -19.35 aprox
Step-by-step explanation:
y-intercept = 9 → (0, 9)
x-intercept = -7 → (-7, 0)
Look at the picture.