If we multiply the first equation by 2 we get
2x - 4y = 12
but the second equation is
2x - 4y = 10
2x - 4y can't have 2 different values so the are no solutions
To solve for a variable, you need to get it (x) by itself.
2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula
a = 2 , b = -4 , c = -1
x =
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Plug in your values
x =
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Simplify
x =
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Simplify
x =
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Simplify by removing a 2 from every term
x =
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Simplify by taking the fraction apart
x =
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Change
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to 1
x = 1
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Simplify
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to
x = 1
Answer:
The length of the sloping section of the ramp is 20.12 m
Step-by-step explanation:
Given;
the total height of the bank, h = 2.8 m
The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°
Let the length of the sloping section = L
let the horizontal distance between the height of the bank and sloping section = b
Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h (height of the triangle) as the opposite side and b (base of the triangle) as the adjacent side.
We determine L by applying the following formula;
Sinθ = opposite / hypotenuse
Sin θ = h / L
L = h / Sin θ
L = 2.8 / Sin 8
L = 2.8 / 0.13917
L = 20.12 m
Therefore, the length of the sloping section of the ramp is 20.12 m
Answer:
-4, 1
Step-by-step explanation: