Answer:
a) 3x⁴-4x³-8x²-35x-10
Step-by-step explanation:
3x2(x²-3x-1)+5x(x²-3x-1)+10(x²-3x-1)
3x⁴-9x³-3x²+5x³-15x²-5x+10x²-30x-10
3x⁴-9x³+5x³-3x²-15x²+10x²-5x-30x-10
3x⁴-4x³-8x²-35x-10
Answer:
6x-21
Step-by-step explanation:
1) draw diagram (in image)
BD=2x-21+4x
combine Like terms
6x-21
Answer:
65 because 12 plus 9 is 21 then 3 times 21 is 65
The answer is 240
Explanation: The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.
First we will find LCM for first two numbers ( 16 and24 ).
Step 1: Find the GCD (Greatest Common Divisor ) of 16 and 24 which is 8.
Step 2: Multiply the numbers 16 and 24 together ( 16 * 24 = 384 )
Step 3: Divide the 384 with 8. (384/8 = 48)
So, the LCM of 16 and 24 is 48.
Now we will find the LCM of above result (48) and third number ( 40 ) using the same procedure.
The result of this part is 240
Answer:
The vector is
.
Step-by-step explanation:
We can determine the equivalent vector (
), dimensionless, by means of the following formula:
(1)
Where:
- Original vector, dimensionless.
- Norm of the original vector, dimensionless.
- Norm of the new vector, dimensionless.
The norm of the original vector is determined by the following definition:
(2)
If we know that
, then the norm of the original vector is:


If we know that
, then the new vector is:


The vector is
.