Selena is flying a kite as shown below. Use the measurements to find how long the kite string is. 16 feet
12 feet
feet

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

20 = c

so the length of the kite string is 20 feet

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

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step-by-step explanation: