Consecutive integers and a
2 a - 3(a+1) = -23
2a - 3a -3 = -23
-a = -20
a = 20 b = 21
x^2 =48 + 2x
x^2-2x-48=0
(x-8)(x+6)=0 x = -6 or +8
Angle B = 180 - 61-43 = 76o
Law of Sines says 8 is to sin 76 as BC is to sin 61o
8/sin 76 = BC/sin61
sin 61 * 8 / sin76 = BC = 7.21
add the two equations to get 2x = sqrt31 + sqrt21 x = 1/2 ( sqrt31+sqrt21)
multiply second equation by -1 to get -x+y = -sqrt21 add to first equation to get
2 y = sqrt31 - sqrt21
y = 1/2 (sqrt31 - sqrt21)
multiply the red equations together 31/4 - 21/4 = 10/4 = 2.5
Solve the equation sqrt(5x - 1) = sqrt(x) + 1. square both sides
5x-1 = x + 2 sqrtx + 1
4x -2 = 2 sqrtx
16x^2 - 16x +4= 4x
16x^2- 20x+4 =0 Quadratic formula shows x = 1 or 1/4 (throw out 1/4)
the two numbers in (7x + a )(x + b ) must multiply together to -11
ab = -11 then a,b = -11,1 11,-1 -1,11 1,-11
if you put all of those into the red equation above you will find n = -4 4 76 -76 I believe.......
20 in the collection .4 (20 ) = cars = 8 cars
add x number of cars to the collection to make it 75% cars
(20 + x)(.75) = 8+x
15 + .75x = 8 + x you can take it from here !
If 0 0 is considered North then yes 214 0 is south and west
1-9 9 digits
10 - 99 180 digits
100 3 digits add 'em up !
One cup is 8 ounces
one gallon is 128 ounces he needs 16 ounces for each station
128/16 = 8 stations