When a quadratic equation ax^2+bx+c has a double root, the discriminant,
D=b^2-4ac=0
Here
a=2,
b=b,
c=18
and
D=b^2-4ac=b^2-4*2*18=0
solve for b
b^2-144=0
=> b= ± sqrt(144)= ± 12
So in order that the given equation has double roots, the possible values of b are ± 12.
Answer:
Geometric Mean = 9.17
Step-by-step explanation:
Here,
a = 7
b = 12
Geometric mean = root(ab)
= root( 7 x 12)
= root(84)
= 9.17
Answer:
20%
Step-by-step explanation:
The percentage change can be found from ...
% change = ((new value)/(reference value) -1) × 100%
= (240/200 -1) × 100%
= 0.20 × 100%
= 20%
240 is an increase of 20% from 200.
Answer:
B.(2,1)
Step-by-step explanation:
The line segment AB will translate onto segment AB' by the translation,
(x+2, y+1)
You add 2 to the x value and 1 to the y value of segment AB.
I think you need to pit in a graph or draw one yourself, eat mile lable that you ran 100 miles and keep going