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The general form of the quadratic with vertex at (2, 3) and passing through the point (5, 12) is x²-4x+7.
<h3>What is the vertex form of a quadratic equation?</h3>Vertex form of the quadratic equation is used to find the coordinate of vertex points at which it crosses its symmetry.
The standard equation of the vertex form of quadratic is given as,
Here, (h, k) is the vertex point.
The vertex of quadratic at (2, 3) and passing through the point (5, 12). Put the value of vertex point in the above equation,
As the quadratic passes through the point (5, 12). Thus, put the value of this point,
Put the value of <em>a</em> in the above expression,
Thus, the general form of the quadratic with vertex at (2, 3) and passing through the point (5, 12) is x²-4x+7.
Learn more about the vertex form here;
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Answer:
The distance between the cruise ship and the sail boat is 517 feet.
Step-by-step explanation:
The cruise ship is 236 feet tall, and the sailboat is 236 tall; this means the distance between the top of the cruise ship and the top of the sail boat is
236 feet - 27 feet = 209 feet.
We also know that the angel of depression from the top of the cruise ship to the bottom of the cruise ship is 22°. This forms a right triangle as shown in the figure attached.
Now from trigonometry we get:
The distance between the cruise ship and the sailboat is 517 feet.
