Answer:
it would be a positive 2/5
Step-by-step explanation:
Rewrite the equations of the given boundary lines:
<em>y</em> = -<em>x</em> + 1 ==> <em>x</em> + <em>y</em> = 1
<em>y</em> = -<em>x</em> + 4 ==> <em>x</em> + <em>y</em> = 4
<em>y</em> = 2<em>x</em> + 2 ==> -2<em>x</em> + <em>y</em> = 2
<em>y</em> = 2<em>x</em> + 5 ==> -2<em>x</em> + <em>y</em> = 5
This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.
Compute the Jacobian determinant for this change of coordinates:
Rewrite the integrand:
The integral is then
7.
Since it is a right triangle we can use Pythagorean Theorem to solve.
A^2+B^2=C^2
We are given C and B. We are solving for A, so we can input what we know.
A^2+24^2=25^2
A^2+576=625
A^2=49
A=7
Therefore, the missing side is equal to 7.
Answer:
12 units
Step-by-step explanation:
(-7,-6)
if you reflect it over the x-axis then the second number would be changing
-6 the opposite is 6
(-7, 6)
from -6 to 6 is 12 jumps
12 units is the distance from the original point