Answer:
40
a triangle has 180 degrees
Answer:
<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>
Step-by-step explanation:
The given function is f(x) = x⁴ - x³ -2x -4
factor the polynomial function
f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)
= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common
= (x² + 2 ) ( x² - x - 2)
= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)
Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)
(x² + 2)= (x + √2 i) (x - √2 i)
( x² - x - 2) = (x -2 ) ( x+1)
Answer:
option 4
Step-by-step explanation:
Given:
A right rectangular prism is packed with cubes of side length 
inch.
Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find:
The volume of the prism
Solution:
Side length of each cube 
inch.
15 cubes along the length, so length of prism is
6 cubes along the width, so width of prism is
5 cubes along the height, so height of prism is
Now,
Volume of rectangular prism is
Therefore, the correct option is B.
Answer:
The value of x is 6 and -6. The smallest value of x is -6
Step-by-step explanation:
2/3 x² = 24
solving this equation for finding the value of x.
Multiply both sides by 3/2
x² = 24 * 3/2
x² = 72/2
x² = 36
Now, to find the value of x taking square root on both sides
√x² = √36
x= ±6
So, the value of x is 6 and -6. The smallest value of x is -6
