Answer:
1,2,4
Explanation to the answer:
Answer: 25 students
Step-by-step explanation:
L = length
w = width
r = diagonal, or hypotenuse
In order to solve this, you must use the Pythagorean theorem (a^2 + b^2 = c^2)
L = w + 9 = a
w = ? = b
r = 10 + w = c
Solve like so:
a^2 + b^2 = c^2
(w + 9)^2 + w^2 = (10 + w)^2
(w + 9)(w + 9) + w^2 = (10 + w)(10 +w)
w^2 + 18w + 81 + w^2 = w^2 + 20w + 100
2w^2 + 18w + 81 = w^2 + 20w + 100
w^2 + 18w + 81 = 20w + 100
w^2 + 81 = 2w + 100
w^2 - 19 = 2w
2 = w - 19/w
w = 2 + 19/w
w ends up being equal to 5.47 as a decimal answer. The work to solve this equation further would require me to spend another couple hours to present. So if you wish to see how this is done, go to quickmath.com.
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

Answer:
1.7
Step-by-step explanation:
1 + 7/10
= 1 + 0.7
= 1.7