Answer:
Acute isosceles triangle
Step-by-step explanation:
because an acute angle is more than 45 but less then 90.
that's all i know sorry!
Answer:
980,000 hl
Step-by-step explanation:
There are 980,000 milliliters in 9.8 hectoliters.
(X+5)²=4/4
X+5=1, X+5=-1
X=1-5 X=-1-5
X=-4 X=-6
Answer:
Sydney is 52 years old, and Tristan is 30.
Step-by-step explanation:
Represent Tristan's age by t and Sydney's by s.
Then s - 8 = 2(t - 8), and t = s - 22
Substituting s - 22 in the first equation, we get:
s - 8 = 2(s - 22 - 8), or
s - 8 = 2s - 60
Solving for s: -2s + s = -60 + 8, or -s = -52.
Sydney is 52 years old, and Tristan is 30.
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,
