4x-24y = 24 -24y = -4x+24 y = 1/6x-1 So the y intercept is -1
24
12y
3x-4x=12 that means -x equals 12 so x equals -12
2y5square root of 6y
4x-24y = 24 -24y = -4x+24 y = 1/6x-1 So the y intercept is -1
24
-32y2 - 24y = 0 Multiply by -1: 32y2 + 24y = 0 Factorise: 8y*(4y + 3) = 0 So 8y = 0 or 4y + 3 = 0 that is, y = 0 or y = -3/4
The solution to 2y^3 - 16y^2 + 24y is factored as 2y(y^2 - 8y + 12), which further simplifies to 2y(y - 2)(y - 6).
x-intercept:2x = 24x = 12y-intercept:-3y = 24y = -8
4 & 8 Watch me closely. X + Y = 12 AND X^2 - Y^2 =48 Solve 1st equation for X ; X = 12 - Y Substitute into 2nd equation [12 - Y]^2 - y^2 = 48 144 - 24Y + Y^2 - Y^2 = 48 144 - 24Y = 48 24Y = 96 Y = 4 and X = 8
2 x 2 x 2 x 3 x y = 24y
12y
12y
50x and 60y
1st circle: x^2 +y^2 -6x +8y -75 = 01st circle: center at (3, -4) and radius 102nd circle: x^2 +y^2 -30x -24y +269 = 02nd circle: center at (15, 12) and radius 10Midpoint of (15, 12) and (3, -4): (9, 4) which is the point of contactProof: distance from (15, 12) to (9, 4) = 10Proof: distance from (3, -4) to (9, 4) = 10
It is 24y^2.