Step-by-step explanation:
<u>Given</u>
- x + 2y = 3 and xy = 2
- show that x³ + 8y³ + 9 = 0
<u>Solution in steps:</u>
- (x + 2y)³ = 3³
- x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
- x³ + 6x(xy) + 12y(xy) + 8y³ = 27
- x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
- x³ + 8y³ + 6*3*2 = 27
- x³ + 8y³ + 36 - 27 = 0
- x³ + 8y³ + 9 = 0
Done
Step-by-step explanation:
1. -4
2. 4
3. -15
I first wrote the answer of 2 , 3 and then 1 .
copy it carefully.
you may get confused
Answer:
-2
5
Step-by-step explanation:
1.
2.
Volume of a cylinder would be equal to pi x radius^2 x height
Answer:
The length of the rectangle = 63 ft
Step-by-step explanation:
Let us assume the width of the rectangle = m ft
So, the length of the rectangle = 3 x Width = 3 x m = 3 m ft
Perimeter = 168 ft
PERIMETER OF A RECTANGLE = 2 (LENGTH + WIDTH)
⇒ 168 ft = 2 ( 3 m + m)
or, 168 = 2 ( 4 m)
or, 8 m = 168
⇒ m = 168/8 = 21
or, m = 21 ft
Hence, the width of the rectangle = m = 21 ft
And the length of the rectangle = 3 x m = 3 x 21 = 63 ft
