Answer:
Given the equation: 
A quadratic equation is in the form: 
where a, b ,c are the coefficient and a≠0 then the solution is given by :
......[1]
On comparing with given equation we get;
a =3 , b = 10
then, substitute these in equation [1] to solve for c;
Simplify:
Also, it is given that the difference of two roots of the given equation is 
i.e,
Here,
, ......[2]
.....[3]
then;
simplify:
or
Squaring both sides we get;
Subtract 100 from both sides, we get
Simplify:
-12c = -96
Divide both sides by -12 we get;
c = 8
Substitute the value of c in equation [2] and [3]; to solve 
or
or
Simplify:
Now, to solve for 
;
or
or
Simplify:
therefore, the solution for the given equation is: 
and -2.
Edge length = 63 feet
Volume = (length) x (width) x (height)
Volume = (63 ft) x (63 ft) x (63 ft) = (63 ft)³ = 250,047 ft³ .
=====================================
1 yard = 3 ft
63 ft = 21 yards
Volume of the cube = (21 yd) x (21 yd) x (21 yd) = (21 yd)³ = 9,261 yd³
======================================
A slightly different way:
1 yard = 3 ft
1 yard³ = (3 ft)³ = 27 ft³
Volume of the cube = (250,047 ft³) x (1 yd³/27 ft³) = 250,047/27 = 9,261 yd³
Answer:
10x − 1.44y
Step-by-step explanation:
(6.15x + 0.24y) ÷ 1.5 + 5.9x − 1.6y =
= 4.1x + 0.16y + 5.9x − 1.6y
= 10x − 1.44y
Let s and c be the rate of the boat in still water and the rate of the current, respectively. Then:
108/s-c=3
108/s+c=2
3s-3c=108
2s+2c=108
Solve for s and c
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