That's true; the Law of Cosines works with all triangles. With right triangles it simplifies to the Pythagorean Theorem.
Hi! I'm happy to help!
We can see that A's coordinates currently are -6 for x and 2 for y.
When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.
To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).
I hope this was helpful, keep learning! :D
Answer:
7.8×10⁷
Step-by-step explanation:
You want to keep the coefficient (7.8) between 1 and 10 to achieve a normalized notation. Otherwise 78×10⁶ would also be an option.
Answer: 400 adult tickets were sold.
Step-by-step explanation:
Let x represent the adult tickets that were sold.
Let y represent the number of children tickets that were sold.
1000 tickets were sold to the seaport aquariums dolphin show. This means that
x + y = 1000
Adult tickets cost $10. Children tickets cost two dollars and a total of 5200 was collected. This means that
10x + 2y = 5200 - - - - - - - -1
Substituting x = 1000 - y into equation 1, it becomes
10(1000 - y) + 2y = 5200
10000 - 10y + 2y = 5200
- 10y + 2y = 5200 - 10000
- 8y = - 4800
y = - 4800/ - 8
y = 600
x = 1000 - y = 1000 - 600
x = 400
