Answer: 
Step-by-step explanation:
Given : The height of the rectangle = 
The width of the rectangle = 
Formula : Area = height x width
Therefore , the area of triangle in terms of polynomial will be :
![6k^3\times( 2k^2+4k+5)\\\\= 6k^3(2k^2)+6k^3(4k)+6k^3(5)\ \ [\text{Using Distributive property}]\\\\=12k^{3+2}+24k^{3+1}+30k^3\ \ [\text{Using exponents rule}:\ a^n\times a^m=a^{n+m}]\\\\=12k^5+24k^4+30k^3](https://tex.z-dn.net/?f=6k%5E3%5Ctimes%28%202k%5E2%2B4k%2B5%29%5C%5C%5C%5C%3D%206k%5E3%282k%5E2%29%2B6k%5E3%284k%29%2B6k%5E3%285%29%5C%20%5C%20%5B%5Ctext%7BUsing%20Distributive%20property%7D%5D%5C%5C%5C%5C%3D12k%5E%7B3%2B2%7D%2B24k%5E%7B3%2B1%7D%2B30k%5E3%5C%20%5C%20%5B%5Ctext%7BUsing%20exponents%20rule%7D%3A%5C%20a%5En%5Ctimes%20a%5Em%3Da%5E%7Bn%2Bm%7D%5D%5C%5C%5C%5C%3D12k%5E5%2B24k%5E4%2B30k%5E3)
Hence, the area of the entire rectangle =
Answer: ..........................................................................................................................................................................................................................................................
3.17 x 10^5 = <span>317000</span>
Answer:
Option c, d and e are equivalent expressions to 7x-14
Step-by-step explanation:
Which expressions are equivalent to 7x - 14
Equivalent Expressions:
<em>The expressions that are the same, even if the expression looks different.</em>
<em>For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4</em>
Now, finding equivalent to expressions 7x - 14
Option a) 14 - 7x
Not equivalent to 7x-14
Option b) x-2
Not equivalent to 7x-14
Option c) -(14 – 7x)
Simplifying: -14+7x so, equivalent to 7x-14
Option d) (x - 2)
Simplifying: 7x-14 so, equivalent to 7x-14
Option e) - 14 + 4x
Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14
Option f) 2x - 10 + 5x + 4
Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14
So, Option c, d and e are equivalent expressions to 7x-14
