Answer:
11779 ft
Step-by-step explanation:
We are given that

Distance between tower and plane,d=5000 ft
We have to find the distance between the plane and bird.
Let x be the distance between bird and plane
We know that

Using the formula


Hence, the distance between the plane and bird=11779 ft
2x + 3x = 100
5x=100
x=100/5
x= 20
Therefore, 2x=2×20=40
3x=3×20=60
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The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.
Answer: (1, -16)
Let's do it some other ways. How about completing the square to turn f in to vertex form?
f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16
and now we can read off (1, -16) as the vertex.
The other method is the vertex is x= - b/2a = - (-2)/2(1) = 1.
Three methods, same answer. Good.
Answer:
13.9
Step-by-step explanation:
Use Pythagorean Theorem:
Both of the lengths given are the legs,
13.5^2 + 3.2^2 = c^2
182.25 + 10.24 = c^2
192.49 = c^2
13.87 = c
The answer will be B! I hope this helps!