Answer:
roots are real and distinct
Step-by-step explanation:
To determine the nature of the roots use the discriminant , b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then roots are not real
Given
2x² - x - 2 = 0
with a = 2, b = - , c = - 2 , then
b² - 4ac
= (- )² - ( 4 × 2 × - 2)
= 5 - (- 16)
= 5 + 16
= 21
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
Solution:
The Point in the coordinate plane is A(-5,-4).
Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is
When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).
Now, the Point B is translated by the rule , (x,y)—->(x+6,y),
So,the point B is translated to, (-5+6,10)=(1,10)
Option C: (1,10) is the glide reflection of point A(-5,-4).
