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3 years ago

Red bird starts his flight from points (10,0). His flight path reaches a maximum height of 18 yards and lands at points (38,0).

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

1) 18 yards

2) x = 24

3) 36 yards

4) y = (-9/98)(x - 24)² + 18

Step-by-step explanation:

The path is symmetrical about x = h

h = (10+38)/2 = 24

x = 24

Distance = 18 + 18 = 36

Vertex: (24,18)

y = a(x - 24)² + 18

At t = 10, y = 0

0 = a(10 - 24)² + 18

a = -18/14²

a = -18/196 = -9/98

y = (-9/98)(x - 24)² + 18

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$\cos(x)=\frac{\sqrt{2}}{2}$ .

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$\sin(x)\cos(y)+\sin(y)\cos(x)$ by addition identity for sine.

$\frac{\sqrt{2}}{2}\frac{-1}{2}+\frac{\sqrt{3}}{2}\frac{\sqrt{2}}{2}$

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Now I'm going to apply what 2 things we got previously to:

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