Make a change of coordinates:
The Jacobian for this transformation is
and has a determinant of
Note that we need to use the Jacobian in the other direction; that is, we've computed
but we need the Jacobian determinant for the reverse transformation (from
to
. To do this, notice that
we need to take the reciprocal of the Jacobian above.
The integral then changes to
B. 6.3 Because, for a triangle, you can use the angles to figure out the length. You can also tell that it can’t be D or A because it’s not longer than the base and it’s not small enough to be C.
Answer:
1. 8/$12=21/$x then cross multiply.
2. 1/$1.5, we're looking for cost so $1 is more reasonable
3. $31.5
Step-by-step explanation:
12x 21/ 8 = 31.5
Answer: The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3
