2x²-10xy+3xy-15y²
Add like terms.
2x²+ (-10xy+3xy) -15y²
Simplify.
2x² + (-7xy) - 15y²
Rearrange the equation.
2x²-15y²-7xy
~Hope I helped~
Answer:
Saving=£450
Spent=£200
Step-by-step explanation:
Ratio of saving to spending is 9:4
She inherits £650
So to determine her saving
It will be
9+4=13
Since her saving is 9
So, 9/13 × 650
5850/13
=450
So her saving is£450
To determine what she spent
4/13 × 650
2600/13
200
Saving=£450
Spent=£200
Given:
First term of an arithmetic sequence is 2.
Sum of first 15 terms = 292.5
To find:
The common difference.
Solution:
We have,
First term: 
Sum of first 15 terms: 
The formula of sum of first n terms of an AP is
![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Where, a is first term and d is common difference.
Putting
, n=15 and a=2 in the above formula, we get
![292.5=\dfrac{15}{2}[2(2)+(15-1)d]](https://tex.z-dn.net/?f=292.5%3D%5Cdfrac%7B15%7D%7B2%7D%5B2%282%29%2B%2815-1%29d%5D)
![292.5=\dfrac{15}{2}[4+14d]](https://tex.z-dn.net/?f=292.5%3D%5Cdfrac%7B15%7D%7B2%7D%5B4%2B14d%5D)
![292.5=15[2+7d]](https://tex.z-dn.net/?f=292.5%3D15%5B2%2B7d%5D)
Divide both sides by 15.




Dividing both sides by 7, we get


Therefore, the common difference is 2.5.
Answer:
Volume of a hexagonal pyramid = 588 square meter
Step-by-step explanation:
Given:
Base area of hexagonal pyramid = 147 square meter
Height of hexagonal pyramid = 4 meter
Find:
Volume of a hexagonal pyramid
Computation:
Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid
Volume of a hexagonal pyramid = 147 x 4
Volume of a hexagonal pyramid = 588 square meter