They’re equivalent because 3 • 3 is 9 and whatever you do to the top, you do to the bottom, therefore 4 • 3 is 12. That would equal 9/12.
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
The correct answer is the second from the top.
Answer:
Sure, what do you need
Step-by-step explanation:
Michelle: x
Ian: 5x
Joe: 7x
Michelle + Ian + Joe = 208 berries
x + 5x + 7x = 208
Combine like terms: 13x = 208
Divide both sides by 13: x = 16
Joe = 7x = 7*16=112
Joe picked 112 berries