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
Chickens have 1 head and 2 legs
rabbits had 1 head and 4 legs
total heads is 30
c+r=30
total legs is 98
2c+4r=98
divide by 2
c+2r=49
multiply top equation by -1 and add to 2nd equation
-c-r=-30
<u>c+2r=49 +</u>
0c+1r=19
r=19
sub back
c+r=30
c+19=30
minus 19
c=11
11 chickens
19 rabbits
Answer:
Her got 60 pounds from North America
Step-by-step explanation:
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
Learn more about Slope at:
brainly.com/question/6531433
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