Answer:
vertical angles
Step-by-step explanation:
Given:
Line a is perpendicular to line b
.
Line a passes through the points (1,-8) and (9,-12)
.
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12)
. So, slope of line a is
Product of slopes of two perpendicular lines is -1.



Slope of line b is 2.
If a line passing through a point
with slope m, then equation of line is

Line b passing through (-8,-16) with slope 2. So, equation of line b is



Subtract 16 from both sides.

Therefore, the equation of line b is
.
Answer:
First option: 6y^2sqrt(10) + 12sqrt(5y)
Step-by-step explanation:
3sqrt(10) * (2y^2 + 2sqrt(2y)
= 6y^2sqrt(10) + 6sqrt(20y)
= 6y^2sqrt(10) + 12sqrt(5y)