Answer:
The answer to your question is r = 10
Step-by-step explanation:
Data
(x² + 10x ) + (y² - 8y ) = 59
Process
1.- Complete the perfect square trinomials
(x² + 10x + (5)²) + (y² - 8y + (4)²) = 59 + (5)² + (4)²
2.- Simplify
(x² + 10x + 25) + (y² - 8y + 16) = 59 + 25 + 16
3.- Factor
(x + 5)² + (y - 4)² = 100
or (x + 5)² + (y - 4)² = 10²
4.- Compare the result with the standard form
(x - h)² + (y - k)² = r²
then r² = 10²
and r = 10


An airplane is flying at a height of 5 kilometers above the ground. The distance along the ground from the airplane to the airport is 7 kilometers. What is the angle of depression from the airplane to the airport? (Write the answer to the nearest degree.)


✞ Step 1 ✞: Identify what is asked in the problem.
❒ The angle of depression from the airplane to the airport.
✞ Step 2 ✞: Use appropriate trigonometric ratio to solve the problem.
❒ Since the two legs of the right triangle are part of the problem, hence we use tangent ratio:

✞ Step 3 ✞: Solution and interpretation.





Hence, the angle of depression from the airplane to the airport is approximately 36°.


What type of geometry is that...I don't remember doing any of that when i took geometry.
Answer:
-5
Step-by-step explanation:
counting is like backwards in negatives so a +5 is slow and a +25 is high but in negatives its the opposite because you are missing that many
I dont really know who to explain it but I hope this helps