The three vectors 
, 
, and 
each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,
Then the cross product of these two results is normal to the plane:
Let 
be a point on the plane. Then the vector connecting to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that
which reduces to the equation of the plane,
Let 
. Then the volume of the region above 
and below the plane is
Answer:
$0.75
Step-by-step explanation:
Consider any one of the values given in the table.
Cost of 5 tickets = $3.75
So, cost of 1 ticket
= $3.75/5
= $0.75
Verification:
Verify the answer by other values.
Cost of 10 tickets = $7.50
So, cost of 1 ticket
= $7.50/10
= $0.75
Cost of 15 tickets = $11.25
So, cost of 1 ticket
= $11.25/15
= $0.75
Cost of 20 tickets = $15.00
So, cost of 1 ticket
= $15.00/20
= $0.75
The cost of 1 ticket is same in all cases.
Hence, verified.
Answer:
36
Step-by-step explanation:
"Two more" = + 2
"quotient of a number and 6" = n/6
"equal to 8" = = 8
Set the equation:
n/6 + 2 = 8
Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 2 from both sides.
n/6 + 2 (-2) = 8 (-2)
n/6 = 8 - 2
n/6 = 6
Isolate the variable n. Multiply 6 to both sides.
(n/6)(6) = (6)(6)
n = 6 * 6
n = 36
36 is your answer.
~
Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.
