Answer:
B. -1
Step-by-step explanation:
If we have a parabola whose equation is:
The line of symmetry is calculated as:
Now, we have the equation 
and the line of symmetry is 
Where:
So, we can replace 
by -4 and 
by -2 and solve for 
using the following equation as:
It means that the equation of the parabola is equal to:
1 1/2 = 3/2
3/2 ÷3/4 = 3/2 * 4/3 = 12/6 = 2
a) The equation of line k is:
b) The equation of line j is:
The equation of a line, in <u>slope-intercept formula</u>, is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:
In which 
and 
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:
- The tangent of 109 degrees is
- Thus, the slope of line m is found solving the following equation:
Thus:
It goes through point (-2,6), that is, when 
, and this is used to find b.
Thus. the equation of line k, in slope-intercept formula, is:
Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:
Then
Also goes through point (-2,6), thus:
The equation of line j is:
A similar problem is given at brainly.com/question/16302622
The answer is a (three eights over three fifths= five eights)
