Answer:
C
Step-by-step explanation:
The solution triangle is attached below :
Tonobtinnthe Angle formed, θ; we apply trigonometry ;
Using ;
Cos θ = Adjacent / hypotenus
Cos θ = 4 / 7
θ = Cos^-1(4/7)
θ = 55.15°
θ = 55°
Answer:
1, -1 , -3 ,3
Step-by-step explanation:
<span>-10 < x - 9
</span><span>-10+9 < x - 9+9
-1<x, or
x> - 1</span>
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
