The sum of 3 consecutive
2 answers:
Answer:
52, 53, 54
Step-by-step explanation:
To find the 3 numbers, we first use the equation x + x + 1 + x + 2 = 159.
Step 1: Combine like terms.
Step 2: Subtract 3 from both sides.
Step 3: Divide both sides by 3.
Step 4: Plug in 52 back into the equation.
Therefore, the numbers are 52, 53, and 54.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren ⚘
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Answer:
a) (8,8,-6)
b) 4x+4y+3z = -3
Step-by-step explanation:
a)
The surface is given by the equation
f(x,y,z) = 0 where
The gradient of this function is the vector
If we evaluate it in the point P = (-2,2,1) we obtain the point
(8,8,-6)
b)
The vectors with their tails at P are of the form
(-2,2,1)-(x,y,z) = (-2-x, 2-y, 1-z)
as they must be orthogonal to the gradient, they must be orthogonal to the vector (8,8,6) so their inner product is 0
and the equation of the desired plane is
4x+4y+3z = -3