We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
Answer:
x = 2, y = 7, z = 12
Step-by-step explanation:
x + y - z = -3 (1)
3x - y + z = 11 (2)
x - 4y + z = -14 (3)
add (1) and (2)
4x = 8 x = 2
add (1) and (3)
2x - 3y = -17
2(2) - 3y = -17
-3y = -17 - 4
-3y = -21
y = 7
Find z using any equation
x + y - z = -3
2 + 7 - z = -3
9 - z = -3
z = 12
Y+1 = -2x+2 (distribute)
Y=-2x + 1 (isolate y)
Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.
The probability of getting 3 heads would be 0.
