Answer:
k = 9
length of chord = 2/3
Step-by-step explanation:
Equation of parabola: 
<u />
<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**
Answer:
yes,this is congruent by SAS criteria
Answer:
267
Step-by-step explanation:
We are given the expression: 6 (d - f) +f
The value of the expression when d= 47 and f = 3 is :
6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267
=267
An arc is a segment of a circle. An arc measure is the measure of an angle that the arc creates in the center of a circle, while an arc length is the span of the arc. This measure can be given in degrees or radians. We can easily convert between the two using the fact that pi radians = 180 degrees.