3/4
9/10 times 5/6= 45/60 divide by 3 then divide by 5. 15/20 = 3/4
V = S^3
S= 1/3
V = 1/3^3
V = 1/27 cubic unites each
3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total
The solution of a system of equations is the point at which the two lines intersect. Since y is already isolated, we can set the equations equal to each other by doing:
4x=4x+1
Subtract 4x from both sides
0=1
Since 0 cannot equal 1 in any case, the lines never intersect. There is no solution to the problem.
3x² - 2x + 7 = 0.
Using method of completing the square.
3x² - 2x = 0 - 7
3x² - 2x = -7 Divide through by 3.
x² - 2/3x = -7/3 ...........(d)
Coefficient of x = -2/3, half of it = 1/2*-2/3 = -1/3 square of it = (-1/3)² = 1/9
We add (1/9) to both sides of equation (d)
<span>x² - 2/3x = -7/3
</span>
<span>x² - 2/3x + 1/9 = -7/3 + 1/9
We factorize it by making using of half of the coefficient, -1/3
</span>
(x - 1/3)² = -7/3 + 1/9
<span>(x - 1/3)² = -20/9
</span>
That's the answer as asked by the question. -20/9
