<span>the sum of of the multiples of 4 between 1 and 999 is 124,500</span>
We can employ some logic to reduce the answers we need to test. We know that the slope perpendicular to line l has to have a negative reciprocal slope, so a slope of
. We see that in A and C, as x increases so does y. That means the slope of these equations are positive, which we don't want. Now for some algebra:
We se that D has the correct slope so that must be the answer.
Answer:
Step-by-step explanation:
9, because 18 multiplied by 3 is equal to 54
54 multiplied by 2 is equal to 108
And,
108 divided by 12 is 9.
30x³ + 35x² + 10x factorised is 5x(2x + 1)(3x +2). To find this, you first want to take out a common factor to be left with a quadratic equation. In this case, we can factor out 5x to be left with 6x² + 7x + 2.
Now we can factorise 6x² + 7x + 2 by finding factors of 6 that add together to make 7 when one of them is multiplied by 2. These are 3 and 2, which is how we end up with (2x + 1) and (3x + 2). Let me know if you would like me to go more indepth about how I found this.
Then you just put these with the 5x and you get 5x(2x + 1)(3x + 2), which are possible expressions for the length, width, and height.
I hope this helps!
