Rate = 60 cents / 12 in = 5 cents per inch
5 c/in * 35 in = 175 cents $1.75
200 miles / 20 m/g * 1.98 $/gal * 1/3 each =
10 * $ 1.98 * 1/3 each = $ ..........
2.8 : ? = 0.7 ??
? = 2.8/0.7 = 4
2.8 : 4 = 0.7
almonds to walnuts to raisins = 1:2:3
1/6 for almonds
1/3 for walnuts
1/2 for raisins 1/6 * $12 *x + 1/3 * $ 9 * x + 1/2 * $ 5 * x = $ 15 where 'x' = pounds of finished trail mix
2x + 3x +2.5 x = 15
7.5x = 15
x = 2 pounds of trail mix
Square both sides to get
x^2 -12x+36 = 3x simplify
(x^2 - 15x + 36) = 0 factor
(x-12)(x-3) = 0 so x = 12 or 3
sub into original equation to find if they work 12 does 3 is extraneous
If both parts of the fxn have the same value at 3 it is continuous
3 (3^2) -2 = 25
a(3)+7 = 25
a 3 = 18 a = 6
2x^2 + 2y^2 + 4x + 12y + 6 = 0 Divide by 2
x^2 + 2x + y^2 + 6y = -6 'Complete the square' for x and y
(x+1)2 + (y+3)2 = -6 + 2 + 9 = 5 5 is radius2 radius = sqrt 5
center is (-1,-3)
Slope will be the derivative of the parabola at any given point....or the slope of the tangent line at that point....= 0 for this parabloa.
Sum of angles in a triangle = 180
Sooooo X+14+x+32+90 = 180
2x = 180-90-32-14 I think you can take it from here !
I'm a little confused.... are a,b,c in your solution corresponding to Substance 1 2 and 3 ?
