Answer:

Step-by-step explanation:

Combine like terms, rewrite the equation and perform the operations between the coefficients,


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:
1. congreunt; reflection
2. not congruent
3. congruent; rotation & translation
4. 64 cm
5. 62 degrees
Step-by-step explanation:
Answer:
B. 41.8° is the correct answer
Step-by-step explanation:
We are given that,
Length of Eduardo's flight path = 273 miles
Length of Paul's flight path = 357 miles
Distance between their destinations = 238 miles.
Now, using the law of cosines, we get,

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. θ = 41.8°
Hence, the angle between their flight paths is 41.8°.