The formula for arc length is s=r*angle theta where s is the arc length, r is the radius, and angle theta is central angle formed by the arc in radians.
In this case, the angle would be s/r or 4.2/4 which is 1.05 radians. We have to convert this into degrees and so you would multiply 1.05 by (180/pi) which results in approximately 60 degrees. Remember, if you want to convert radians into degrees, the conversion factor is 180/pi and for degrees into radians, it is pi/180.
<u>Answer:</u>
The point-slope equation of the line is 
or 
<u>Solution:
</u>
Let us assume that the slope is m and the y intercept of the line is b
Hence, 
--------- (i)
y intercept means we need to find the value of y when x is 0
Here the line passes through point (4,-6) and slope m = (-2)
Now putting the point (4,-6) in equation (i) we get,
So, the equation of the line will be will be or
The correct answer is C. The form for shifts is (x-h)^2 +k where h=the x variable ( horizontal shift left or right) and k = the y variable (vertical shift up or down) The confusing part for many students is remember that if you are moving left it's subtraction So in the form x-h it is actually x - (-h) so it gets turned into a positive/ addition sign.
