Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Answer:
The correct answer is 7.54 foot apart.
Step-by-step explanation:
The height of the Cap San Juan Lighthouse is 45 foot.
The angle of depression of the first boat is given to be 40°.
Distance between the first boat and the lighthouse is cos 40° × 45 = 34.47 foot.
The angle of depression of second boat is given to be 21°.
Distance between the second boat and the lighthouse is cos 21° × 45 = 42.01 foot.
Therefore the boats are 42.01 - 34.47 = 7.54 foot apart from each other.
<span>94/54145 Would be your answer, hope this helps! :D</span>
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