Because of a manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 12-pack.
1 answer:
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"of" means multiply and "is" means equal
1. x = 14
x = 14(3) <em>multiply both sides by 3 to isolate "x"</em>
x = 42
2. x = 14
x = 14(5) <em>multiply both sides by 5 to isolate "x"</em>
x = 70
3. x = 14
2x = 14(5) <em>multiply both sides by 5 </em>
2x = 70
x = 35 <em>divide both sides by 2 to isolate "x"</em>
4. x = 14
7x = 14(8) <em>multiply both sides by 8 </em>
7x = 112
x = 16 <em>divide both sides by 7 to isolate "x"</em>
Answers: 42, 70, 35, 16
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