Answer:
we will get an isosceles triangle as a result.
Step-by-step explanation:
when the point A is joined to B and C we will get the side AB and AC of equal length.
length of AB and AC could be calculated easily with the help of pythagorean theorem where the base and perpendicular are of length 4in and 1in .
when we will cut a plane including the the points A,B and C we will get a triangle whose sides AB and AC are equal but BC would be of distinct length.
Hence, the resultant figure will be an isosceles triangle.
The answer is 2 units up
hope this helps:)
The table below summarises the calculation for the standard deviation of x-bar.
![\begin{tabular} {|c|c|c|c|} Drawing (x)&$\bar{x}$&$x-\bar{x}$&$(x-\bar{x})^2\\[1ex] 2,2,2&2&-2.5&6.25\\ 2,2,3&2.3&-2.2&4.84\\ 2,2,5&3&-1.5&2.25\\ 2,2,8&4&-0.5&0.25\\ 2,3,3&2.7&-1.8&3.24\\ 2,3,5&3.3&-1.2&1.44\\ 2,3,8&4.3&-0.2&0.04\\ 2,5,5&4&-0.5&0.25\\ 2,5,8&5&0.5&0.25\\ 2,8,8&6&1.5&2.25\\ 3,3,3&3&-1.5&2.25\\ 3,3,5&3.7&-0.8&0.64\\ 3,3,8&4.7&0.2&0.04\\ 3,5,5&4.3&-0.2&0.04\\ 3,5,8&5.3&0.8&0.64\\ 3,8,8&6.3&1.8&3.24\\ 5,5,5&5&0.5&0.25\\ 5,5,8&6&1.5&2.25\\ 5,8,8&7&2.5&6.25\\ 8,8,8&8&3.5&12.25\\ \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7Cc%7Cc%7C%7D%0ADrawing%20%28x%29%26%24%5Cbar%7Bx%7D%24%26%24x-%5Cbar%7Bx%7D%24%26%24%28x-%5Cbar%7Bx%7D%29%5E2%5C%5C%5B1ex%5D%0A2%2C2%2C2%262%26-2.5%266.25%5C%5C%0A2%2C2%2C3%262.3%26-2.2%264.84%5C%5C%0A2%2C2%2C5%263%26-1.5%262.25%5C%5C%0A2%2C2%2C8%264%26-0.5%260.25%5C%5C%0A2%2C3%2C3%262.7%26-1.8%263.24%5C%5C%0A2%2C3%2C5%263.3%26-1.2%261.44%5C%5C%0A2%2C3%2C8%264.3%26-0.2%260.04%5C%5C%0A2%2C5%2C5%264%26-0.5%260.25%5C%5C%0A2%2C5%2C8%265%260.5%260.25%5C%5C%0A2%2C8%2C8%266%261.5%262.25%5C%5C%0A3%2C3%2C3%263%26-1.5%262.25%5C%5C%0A3%2C3%2C5%263.7%26-0.8%260.64%5C%5C%0A3%2C3%2C8%264.7%260.2%260.04%5C%5C%0A3%2C5%2C5%264.3%26-0.2%260.04%5C%5C%0A3%2C5%2C8%265.3%260.8%260.64%5C%5C%0A3%2C8%2C8%266.3%261.8%263.24%5C%5C%0A5%2C5%2C5%265%260.5%260.25%5C%5C%0A5%2C5%2C8%266%261.5%262.25%5C%5C%0A5%2C8%2C8%267%262.5%266.25%5C%5C%0A8%2C8%2C8%268%263.5%2612.25%5C%5C%0A%5Cend%7Btabular%7D)

Therefore, the standard deviation of x-bar is approximately 1.23.
F(x) = {(8, 3), (4, 1), (0, -1), (-4, -3)}
f(x) = ¹/₂x - 1
f(x) = ¹/₂x - 1
y = ¹/₂x - 1
x = ¹/₂y - 1
+ 1 + 1
x + 1 = ¹/₂y
2(x + 1) = 2(¹/₂y)
2(x) + 2(1) = y
2x + 2 = y
2x + 2 = f⁻¹(x)
2x + 2 = g(x)
g(x) = {(3, 8), (1, 4), (-1, 0), (-3, -4)}
g(x) = 2x + 2
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
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