In the quadratic equation y = ax² + bx + c, the axis of symmetry can be determined with
x = -b/2a
Solution:
Identify the coefficient of the quadratic equation y = 3x² - 6x - 4
a = 3
b = -6
c = -4
The axis symmetry will be
x = -b / 2a
x = -(-6) / 2(3)
x = 6/6
x = 1
The axis of symmetry is x = 1
Answer: Angle X
Reason: For any triangle, the largest angle is always opposite the longest side.
Add the possible answers so we know all options
First find the slope of the line DM using the slope formula: .
Use the points D(0, 2) and M(-3, -5). Substitute in -5 for y2, 2 for y1, -3 for x2, and 0 for x1.
, subtract the coordinate points.
= ; the slope of the line DM is 7/3.
Perpendicular lines have opposite reciprocal slopes, meaning you switch the sign (say for example a negative becomes a positive, a positive becomes a negative) and you flip the fraction over (for example 1/2 becomes 2/1 and 2/1 becomes 1/2).
The opposite reciprocal of 7/3 is -3/7, so the line perpendicular to the line DM has a slope of -3/7.