We have that
<span>f(x)=2x</span>²<span>+12x+16
using a graph tool
see the attached figure</span>
Answer:
The correct options are (1), (3) and (5).
Step-by-step explanation:
The two triangles are shown below.
The measure of ∠F corresponds to ∠F'.
The distance between the points D and origin is of 9 units.
And the distance between the points D' and origin is 3 units.
Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.
Check for similarity:

Thus, the △DEF is similar to △D'E'F'.
Thus, the correct options are (1), (3) and (5).
Answer:
14.4 miles
Step-by-step explanation:
Given that :
Distance moved North = 12 miles
Distance moved West = 8 miles
Shortest distance to reach starting point :
Let shortest distance to reach starting point = d miles
Using the relation :
Longest side of a right angled triangle:
d = sqrt(8^2 + 12^2)
d = sqrt(64 + 144)
d = sqrt(208)
d = 14.422205
d = 14.4 miles (nearest tenth of a mile)