Answer:
8.6 feets
Step-by-step explanation:
From the scenario described :
The length of the rope, h is the hypotenus. From the data Given, we cannot obtain how far wthe bird will need to fly directly, we use Pythagoras rule to calculate the hypotenus of the triangle :
Hypotenus, h = sqrt(opposite² + adjacent²)
h = sqrt(7² + 5²)
h = sqrt(49 + 25)
h = sqrt(74)
h = 8.6 feet
y = (x-6)²-3
1) Let's write a transformation described as it is, algebraically speaking.
• opening upward, (a >0)
,
• shifted 6 units right, (-6)
,
• and three units down -3
2) Starting from the parent function y=x², then we can write:
y = (x-6)²-3
Notice that the horizontal shift is within the parentheses with a swapped sign. And outside that -3 indicating the vertical shift.
f(x) = x² + 7x + 10
f(0) = (0)² + 7(0) + 10 = 10 ----> (0, 10)
f(2) = (2)² + 7(2) + 10 = 28 -----> (2, 28)
rate of change is slope: 
= 
= 9
Answer: 9
Step-by-step explanation:
169 - 9 = 160
When there are one positive and one negative
