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MAVERICK [17]
3 years ago
12

A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse

. Enter a number in the box to correctly complete the statement. Round the answer to the nearest tenth.
Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0
First draw a right triangle using the lighthouse as reference. Draw a dot (lighthouse) draw a line downward (south) with 2.2 km measurement. Next, draw a line to the right of the lighthouse (16.8 km)

The two legs are 2.2 km and 16.8 km. To complete the statement, we need to solve for the hypotenuse of the right triangle. 

Using the Pythagorean Theorem:

Assign a = 2.2 km
            b = 16.8 km

so,

c^2 = a^2 + b^2

2.2^2 + 16.8^2 = c^2

Therefore, the value of c is 16.94 km. 
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Answer:

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Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

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The equation of this parabola is given by the formula,

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The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


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Since the parabola turns downwards,


p=-2.



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We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









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