Answer: 
Step-by-step explanation:
To answer this, we have to use quadratic equations.
We can represent this by using information given to us.
Knowing that a parabola peaks at its vertex, and the flare goes from its launch site (x = 0) and hits the ground 30m from the launch site (x = 30), we know that the flare peaks 15 meters away horizontally from the launch point.
We also know that the y-intercept is 0, because it is fired from the ground.
Knowing that the vertex for the parabola is (15, 200) and the y-intercept is (0, 0), we can model an equation.
Vertex form is:
, where (h, k) is the vertex.
We can plug the y-intercept, (0, 0), into this equation to find a:
Answer:
2/3
Step-by-step explanation:
Let's solve your equation step-by-step.
9a=(√3)a+2
9a=1.732051a+2
Solve Exponent.
9a=1.732051a+2
log(9a)=log(1.732051a+2)(Take log of both sides)
a*(log(9))=(a+2)*(log(1.732051))
a=(log(1.732051)/log(9))*(a+2)
a=0.25*(a+2)
a=0.25a+0.5(Simplify both sides of the equation)
a−0.25a=0.25a+0.5−0.25a(Subtract 0.25a from both sides)
0.75a=0.5
0.75a/0.75=0.5/0.75
(Divide both sides by 0.75)
a=0.666667
a=2/3
0.666667=2/3
Hope this helps :)
Answer:68.921
Step-by-step explanation:
its S^3
SO SIMPLY
Answer:
a)
0.8 hours
b)
1.1 kilometers/min
Step-by-step explanation:
a)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = 60 kilometers per hour
t = time taken for the train to travel from town A to town B
Time taken is given as
t = D/v
inserting the values
t = 45/60
t = 0.8 hours
b)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = ?
t = time taken for the train to travel from town A to town B = 40 minutes
Speed of the train is given as
v = D/t
inserting the values
v = 45/40
v = 1.1 kilometers/min
Answer:
MN means line joining point M to point N.
