The equation of the line through (0,2) and (2, 5) is
(y - 2) = (5 - 2)/(2 - 0)*(x - 0)
or 2*(y - 2) = 3*x
or 3x - 2y + 4 = 0
Points: (2, 5) and (0, 5) Slope: 0 Equation: x = 2 meaning that it is a straight horizontal line parallel to the y axis
(3x + 2)(x - 5) = 0 x = -2/3 or 5
If: x = 2/3 and x = 5/7 Then: (3x-2)(7x-5) = 0 Equation: 21x2-29x+10 = 0
No. It is a quartic equation. The largest power of x in a quadratic equation must be 2.
find the sum and product of the roots of 8×2+4×+5=0
3b2 + b - 10 = 0 This quadratic equation can be factored. (3b -5)(b +2) = 0 The equation can be solved when either (3b - 5) = 0, or (b + 2) = 0. If 3b - 5 = 0 then 3b = 5 : b = 5/3 If b + 2 = 0 then b = -2 The roots or solutions to this equation are b = 5/3 and b = -2
Points: (0. 5) and (2, 3) Slope: -1 Equation: y = -x+5
Points: (2, 5) and (0, 5) Slope: 0 Equation: x = 2 meaning that it is a straight horizontal line parallel to the y axis
To determine the correct equation for the points (0, 1), (2, 5), and (3, 7), we can first find the slope between two of the points, for example, (0, 1) and (2, 5). The slope is (5 - 1) / (2 - 0) = 2. The equation of the line in slope-intercept form (y = mx + b) is then y = 2x + 1. This equation can be checked with the other points to confirm its validity.
Points: (-1, 2) and (5, 2) Slope: 0 Equation: y = 2
(3x + 2)(x - 5) = 0 x = -2/3 or 5
Points: (0, -2) and (20, 42) Slope: 11/5 Equation: 5y = 11x-10 or as y = 2.2x-2.
Center of circle: (2, 5) Point of contact with the x axis: (2, 0) Distance from (2, 5) to (2, 0) equals 5 which is the radius of the circle Equation of the circle: (x-2)^2 +(y-5)^2 = 25
If: x = 2/3 and x = 5/7 Then: (3x-2)(7x-5) = 0 Equation: 21x2-29x+10 = 0
y = -5x+5 (Equation 1)3x+2y = 3 (Equation 2)you see the the first equation is equal to y. just put that into the second equation.3x + 2(-5x+5) = 3 (now do algebra and find x)3x - 10x + 10 = 3-7x = -7-x = -1x = 1Now put x into one of the equations to find yy = -5(1) + 5 (Equation 1)y = -5 + 5y = 0Now put both the x and y into both equations to see if it is truee.0 = -5(1) + 5 (Equation 1)0 = -5 + 50 = 0 CORRECT3(1) + 2(0) = 3 (Equation 2)3 + 0 = 33 = 3 CORRECTTherefore your answers arex = 1y = 0
your equation is this... 2x3 + 11x = 6x 2x3 + 5x = 0 x(2x2 + 5) = 0 x = 0 and (5/2)i and -(5/2)i
Points: (-4, 8) and (0, -2) Slope: (8--2)/((-4-0) = -5/2 Perpendicular slope: 2/5 Midpoint: (-4+0)/2, (8-2)/2 = (-2, 3) Equation: y-3 = 2/5(x--2) Multiply all terms by 5: 5y-15 = 2(x--2) => 5y = 2x+19 Perpendicular bisector equation in its general form: 2x-5y+19 = 0