5p-9=2p+12
5p-2p=12+9
3p=21
p=21/3
p=7
.6 x 10^-3 (Move the decimal in a multiple of 3 and don't forget it's 6 tenths not the whole number 6) In scientific notation this would be;
(the whole number)6 x 10^-4
Hmm
what you do is try to eliminate 1 variable in 2 equaions first
we can elminate x's in first and 2nd equation
add first and 2nd equation
x+3y-2z=10
<u>-x-2y+z=-7 +</u>
0x+y-z=3
y-z=3
multiply 2nd equation by 3 and add to last one
-3x-6y+3z=-21
<u>3x+9y-5z=28 +</u>
0x+3y-2z=7
3y-2z=7
we now have
y-z=3
3y-2z=7
multiply first equation by -2 and add to 2nd
-2y+2z=-6
<u>3y-2z=7 +</u>
y+0z=1
y=1
now we can sub back
y-z=3
1-z=3
minus 1
-z=2
times -1
z=-2
sub baack into any equation
x+3(1)-2(-2)=10
x+3+4=10
x+7=10
minus 7
x=3
x=3
y=1
z=-2
(3,1,-2)
To find slope use the formula M = y2 - y1
-----------
x2 - y1
say you were given this (2,3) (-4,5) 2 would be x1 and 3 would be y1, -4 would be x2 and 5 would be y2 then just put it into the formula 5 - 3
--------
-4 - 2
which would be 2/ -6 which would simplify to 1/3
55,57,59
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59
