For the transformation
the Jacobian is
with determinant
The vertices of the triangle in the 
-plane are
Then the integral is
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
An equation for the ellipse ( standard form ):
x²/a² + y²/b² = 1
Here is: a - semi-major axis and b - semi-minor axis.
Radius of the moon is 1,000 km and the distance from the surface of the moon to the satellite varies from 953 km to 466 km.
a = 1,000 + 953 = 1,953 km
b = 1,000 + 466 = 1,466 km
Answer:
The equation is x² / 1,953² + y² / 1,466² = 1
or: x²/3,814,209 + y²/2,149,156 = 1
The required additional information required to prove the Triangles congruent are :
The Triangles will be congruent by HL congruency.
The Triangles are congruent by LL congruency.
The Triangles are congruent by HA congruency.
The Triangles are congruent by LA congruency.
I’m pretty sure it’s the last one
