Answer:
4. 20.8 in
5. 60 degrees
6. i cant see number 6 so yah
Step-by-step explanation:
Answer: a2 + 152 = 362
Step-by-step explanation:
Let, the numbers are: x, y
So, Equations will be: x - y = 22
x = 2y + 9
Substitute the value of x in first equation,
2y + 9 - y = 22
y = 22 - 9
y = 13
x - 13 = 22
x = 22 + 13 = 35
In short, Larger number would be 35
Hope this helps!
Call the price of the bike before mark up 'x', then we have:
x + 0.25x = 210
1.25x = 210
x = 168
Therefore, the bike cost $168 before 25% price increase.
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
