One possible answer is Un = 3n - 1 for n = 1, 2, 3, ...
To determine if the point (2, 5) is on the line represented by the equation (4x - 3y - 11 = 0), substitute (x = 2) and (y = 5) into the equation. This gives (4(2) - 3(5) - 11 = 8 - 15 - 11 = -18), which does not equal zero. Therefore, the point (2, 5) is not on the line.
Points: (3, 5) and (7, 11) Midpoint: (5, 8) Slope: 3/2 Perpendicular slope: -2/3 Perpendicular equation: y-8=-2/3(x-5) => 3y-24=-2x+10 => 3y=-2x+34 Therefore the perpendicular bisector equation is: 3y = -2x+34
To find the equation of the line of best fit for the given data points (2, 2), (5, 8), (7, 10), (9, 11), and (11, 13), we can use the least squares method. The calculated slope (m) is approximately 0.85 and the y-intercept (b) is around 0.79. Thus, the equation of the line of best fit is approximately ( y = 0.85x + 0.79 ).
1+11 2+10 3+9 4+8 5+7 6+6 7+5 8+4 9+3 2+10 11+1 That's all of them, without going into negatives
Where parentheses can be rearranged and do no change the equation. 5*(8*2)=(8*5)*2
To determine if the point (2, 5) is on the line represented by the equation (4x - 3y - 11 = 0), substitute (x = 2) and (y = 5) into the equation. This gives (4(2) - 3(5) - 11 = 8 - 15 - 11 = -18), which does not equal zero. Therefore, the point (2, 5) is not on the line.
Points: (-2, 5) and (-8, -3) Midpoint: (-5, 1) Slope: 4/3 Perpendicular slope: -3/4 Perpendicular equation: y-1 = -3/4(x--5) => 4y = -3x-11 Perpendicular bisector equation in its general form: 3x+4y+11 = 0
Points: (3, 5) and (7, 11) Midpoint: (5, 8) Slope: 3/2 Perpendicular slope: -2/3 Perpendicular equation: y-8=-2/3(x-5) => 3y-24=-2x+10 => 3y=-2x+34 Therefore the perpendicular bisector equation is: 3y = -2x+34
To find the equation of the line of best fit for the given data points (2, 2), (5, 8), (7, 10), (9, 11), and (11, 13), we can use the least squares method. The calculated slope (m) is approximately 0.85 and the y-intercept (b) is around 0.79. Thus, the equation of the line of best fit is approximately ( y = 0.85x + 0.79 ).
1+11 2+10 3+9 4+8 5+7 6+6 7+5 8+4 9+3 2+10 11+1 That's all of them, without going into negatives
Where parentheses can be rearranged and do no change the equation. 5*(8*2)=(8*5)*2
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
find the sum and product of the roots of 8×2+4×+5=0
8*(5+11)/(2+6)= 8(16)/8= 16
Points: (4, 8) and (2, -2) Slope: (8--2)/(4-2) = 5 Equation: y-8 = 5(x-4) => y = 5x-12 Equation: y--2 = 5(x-2) => y = 5x-12 So straight line equation is: y = 5x-12
27.5