two distinct real roots means the discriminat of the quadratic formula , b^2 - 4 ac , is greater than zero
m^2 - 4(2)(18) > 0 solve for +- m
7 / 1000 ( there are 1000 mm in a meter)
Either calculate the x axis ( set y= 0 and solve ) and y axis (set x = 0 and solve) intercepts, or graph it to fine them....did you do that yet? Then calcualte the area of the trinagle area = 1/2 b h
sin 60 = 27sqrt3 / side
side = 27sqrt 3 / sqrt 3 / 2 = 54 ft
THis is a dome shaped parabola....the max will occur at t = - b/2a = - 42 /(2*(-4.2)) = 5 seconds
11 hours flying time
3000/(s+50) + 3000/ (s-50) = 11 Now multipy both sides of the equation by (s+50)(s-50) to get:
6000s = 11s^2 - 27500
11s^2 -6000s -27500 = 0 Use Quadratic formula to find s = 550 m/hr
Hint: Add all of the equations together....then divide by 10....
Note that sqrt 8 = 2 sqrt 2 sqrt 32 = 4 sqrt 2
so you have
(1 + 3/2 + 5/4 ) * 1/sqrt2
= 3 3/4 ( 1/ sqrt2)
= 15 sqrt 2 /8
(x+6)^2 = x^2 + 12x + 36 means k = 22
(x-6)^2 = x^2 -12x + 36 means k = -2 Add 'em together........
Here is a graph
https://www.desmos.com/calculator/qhtvyyhrio
I think we need to get it in the correct form:
(x-6)^2 + (y+7)^2 - 80 = 0
x^2 -12x + 36 + y^2 + 14y + 49 - 80 = 0 THEN - C = 36 + 49 - 80 = + 5 so C = -5
