1) Never heard of someone referring to the Law of Levers before, must be showing my age. A system as you describe is at equilibrium when the net torque is equal to zero. Since torque is Fr=mgr so for this system we have a sum of:
27g*10+30g*x=0 The sum must be zero to be at equilibrium, dividing both sides by g you have:
270+30x=0
270=-30x
x=-9
The negative just indicates that the magnitude of 9 is on the opposite side of the fulcrum, so x=9ft in magnitude.
2) Inverse variation is of the form y=k/x, in this case we are given a point so we can solve for the constant, k, of variation...
y=k/x, and we are given y=-12 when x=5 so
-12=k/5
k=-60 so the equation is:
y=-60/x which can be expressed as
xy=-60
Similar triangles may or may not have congruent sides lengths
<h3>How to determine the measurements of the objects</h3>
From the properties of similar triangles, the side lengths of similar triangles may or may not be congruent, but the side lengths are always proportional.
Take for instance, an equilateral triangle has a dimension of 2cm by 2cm by 2cm
The similar triangles could have the following dimensions:
- 3cm by 3cm by 3cm
- 4cm by 4cm by 4cm
- 6cm by 6cm by 6cm
- 7cm by 7cm by 7cm
- 10cm by 10cm by 10cm
This is so because the triangles are proportional to the equilateral triangle
Read more about similar triangles at:
brainly.com/question/14285697
Answer:
Hello There!
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Lot present = x
Given after 18 years = x + 18
x + 18 = 4 . x
x - 4x = -18
- 3x = -18
18/3
x = 6
Hope this helped you. Brainliest would be nice!
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it would be A
Step-by-step explanation:
I'm good at math
Factor:
9x^2 - 64
= (3x)^2 - 8^2
= (3x + 8)(3x - 8)
If you want to solve it, let the equation equal zero
(3x + 8)(3x - 8) = 0
3x + 8 = 0 ; x = -8/3
3x - 8 = 0 ; x = 8/3
Solutions: x = -8/3 and x = 8/3
