(5x^2 +3x^2) + (-2x + x) + ( -4)
8x2 - x - 4
the amount of space to be divided equally = 3 3/4 - 2 1/2 = 1 1/4 inches
1 1/4 / 2 = 5/8 inch on each side of the label to the edge
vertex -2, -3
Vertex form of parabola: y = a (x-h)2 + k
y = a (x+2 )^2 - 3 Now look at x = -4 the function needs to be = -1
x^2+4x+4 - 3 = -1
a(16 - 16 + 4) - 3 = -1
4a = 2
a = 1/2
y = 1/2 (x+2)2 -3
Ratio of red to yellow 3.5 : 4.5 3.5 out of 8 are red or 3.5/8
3.5/8 * 12 cups = 5 . 25 cups or 5 1/4 cups red
6 x 6 x 6 = 216 possible rolls
'5' rolls
113
131
311
221
212
122 6 out of 216 (I think)
Sorry..... I misread (actually didn't read the whole Q)...
23 people must shake hands with AT LEAST 2 other people
23 x 2 = 46 handshakes ....but each involves TWO people sooooo 46/2 = 23 handshakes
Formula for distance from a point to a line :
3x+4y-5 = 0 (your line) point (0, 0 ) means x1=0 y1=0
a = 3 b = 4 c = -5
d=|ax1+by1+c| / sqrt(a2+b2) thry this ....let us know what you find !
23 people must shake hands with 22 other people
this would be 23 x 22 = 506 handshakes BUT two people are involved with each handshake
so 506 /2 = 253 handshakes
Correct-o-mundo !
These questions are st up like this:
1/x + 1/y = 1/ t t = 2 hours
1/5 + 1/y = 1/2 solve for y...the time for y alone
