The following triangles are similar by SAS~
1 answer:
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Answer:
k = 9
length of chord = 2/3
Step-by-step explanation:
Equation of parabola:
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<u>Part 1</u>
If the curve passes through point , this means that when
,
Substitute these values into the equation and solve for :
Apply the exponent rule :
<u>Part 2</u>
- The chord of a parabola is a line segment whose endpoints are points on the parabola.
We are told that one end of the chord is at and that the chord is horizontal. Therefore, the y-coordinate of the other end of the chord will also be 1. Substitute y = 1 into the equation for the parabola and solve for x:
Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)
To calculate the length of the chord, find the difference between the x-coordinates:
**Please see attached diagram for drawn graph. Chord is in red**
