x^2 -4x + y^2+12y = 8 complete the x and y squares
(x-2)2 + (y+6)2 = 8 + 4 +36 = 48
This is a circle with center 2, -6 and radius = sqrt 48 you should be able to calculate the area now that you have the radius ......
The x coordinate of the vertex can be found by -b / 2a a = 3 b = 6 c = -1
use this value of x to find the y coordinate....
Slope of shown line = 3/2 parallel slope = 3/2
(y-2) = 3/2 (x-3) arrange into the form you like to match the answer
26 x 26 x 26 x 5 x 5 x 5 x 5 = 263 * 54 = ...............
n = nickels value = 5n
q = quarters = 16-n value = 25 (16-n) summed = 220
5n + 25(16-n) = 220 solve for n = the number of nickels
OK ! Done ! Any QUESTIONS ?
The unlabelled angle in the triangle is 180 - 29 -12x-26 this plus 15x+34 sum to 180 (straight line)
so 180 -29 -12x -26 + 15x+34 = 180 solve for x then the angle you are seeking is 15x+34
Look toward the bottom of this page...starting with law of cosines
https://mathworld.wolfram.com/HeronsFormula.html
5 people x 13 days = 65 people days to complete
5 people x 4 days = 20 people days completed leaving
45 people days to completion by 3 people....... 15 days more to complete after suspension
total days 4 + 15 = 19 days total
Not positive....but if a = 2 the graph shifts leftward by 2 and becomes symmetrical about the x=y axis.
