Answer:
56°
Step-by-step explanation:
First, the measure of angle GHE is equal to DFH. This means that you can set 98-6x=63-x, which becomes 5x=35 so x=7. Substitute 7 for x and you'll get DFH =63-7, which is 56.
Answer:
50 is the sum
Step-by-step explanation:
-10+20=10
10+-40=-30
-30+80=50
First simplify: 26 x 5/12 would equal to 13 x 5/6 because we divided it 2, then do the equation, which would now be 65/6, 13 x 5 and 1 x 6 so now we can make it into mixed numbers, so 10 5/6
ANSWER: 65/6 or 10 5/6
Answer:
The area can be written as

And the value of it is approximately 1.8117
Step-by-step explanation:
x = u/v
y = uv
Lets analyze the lines bordering R replacing x and y by their respective expressions with u and v.
- x*y = u/v * uv = u², therefore, x*y = 1 when u² = 1. Also x*y = 9 if and only if u² = 9
- x=y only if u/v = uv, And that only holds if u = 0 or 1/v = v, and 1/v = v if and only if v² = 1. Similarly y = 4x if and only if 4u/v = uv if and only if v² = 4
Therefore, u² should range between 1 and 9 and v² ranges between 1 and 4. This means that u is between 1 and 3 and v is between 1 and 2 (we are not taking negative values).
Lets compute the partial derivates of x and y over u and v




Therefore, the Jacobian matrix is
and its determinant is u/v - uv * ln(v) = u * (1/v - v ln(v))
In order to compute the integral, we can find primitives for u and (1/v-v ln(v)) (which can be separated in 1/v and -vln(v) ). For u it is u²/2. For 1/v it is ln(v), and for -vln(v) , we can solve it by using integration by parts:

Therefore,
