Answer:

Step-by-step explanation:
We are given:

Separation of Variables:

So:

Integrate:

Integrate:

Raise both sides to e:

Simplify:

So:

Simplify:

Answer:
x = 1.5
, y = 3 + 2at.
Step-by-step explanation:
For the parabola
= 4aX ,
General form will be
(X = a
, Y = 2at) ,
Thus , for the parabola
= 6(x +8)
Here , a = 1.5 and Y from the above equation should be substituted by y - 3 and X must be substituted by x + 8. After substitution of the same we can use the general equation formula for this parabola also.
Thus , general equation comes out to be :-
x + 8 = 1.5
, y - 3 = 2at
x = 1.5
, y = 3 + 2at.
Answer:
5 yd
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² + altitude²
= 3² + 4²
= 9 + 16
= 25
Hypotenuse = √25 = √5*5 = 5 yd
Answer:
No real roots
Step-by-step explanation:
Roots of a quadratic are the x-intercepts of the graph
Answer:
1/3
Step-by-step explanation:
simplify
81^(-1/4)
= 1/81^(1/4)
= 1/[3×3×3×3]^(1/4). (factorize 81)
= 1/[3]^(4/4)
= 1/3