Answer:
x = 3
Step-by-step explanation:
7/x - 3/(2x) + 7/6 = 9/x
x(7/x - 3/(2x) + 7/6) = x(9x)
x*7/x - 3*x/(2x) + x*7/6 = x*9x
7 - 3/2 + 7x/6 = 9
7x/6 = 9 - 7 + 3/2
7x/6 = 2 + 3/2
7x/6 = 12/6 + 9/6
7x = 12+9
7x = 21
x = 21/7
x = 3
probe:
7/3 - 3/(2*3) + 7/6 = 9/3
14/6 - 3/6 + 7/6 = 3
(14 - 3 + 7) / 6 = 3
18/6 = 3
Answer:
x⁵ + 5x³ + 7x² + 35
Step-by-step explanation:
(x² + 5) (x³ + 7)
To distribute binomials (expressions with two terms), you can use the FOIL method (First, Outer, Inner, Last):
x⁵ + 7x² + 5x³ + 35
To put into standard form, rearrange from highest power to lowest power:
x⁵ + 5x³ + 7x² + 35
The coordinates for point R will be (-1, -6). This is because a rectangle has opposite sides and as you plot your rectangle with these defines points along with that of R, you will be able to successfully achieve a perfect rectangle.