Answer:
Step-by-step explanation:
The LCD here is 10.
Multiplying numerator and denominator of (4*10^2) by 10 results in:
40*10^3
-------------
10
and rewriting (2x10^-1) with positive exponent in the denominator results in:
2
---------
10
So, before simplification, this difference comes out to be:
40000 - 2 39998 19999
----------------- = ---------------- or ------------
10 10 5
Answer:
68
Step-by-step explanation:
1) Plug In (when you plug in you replace the defined variable with the number given. usually you have to find the numbers to plug in but since they're already given to you you just plug them in.) 4(3) + 8(7)=T T= total cost
2) Multiply 4*3=12 8*7=56
3) Add 12+56=68
4) <u>T=68</u>
<u>x₁ + x₂</u> <u>y</u>₁ + <u>y</u>₂<u>
</u> 2 = M 2 = M
<u>
x + 8</u> <u>y + -2</u><u>
</u> 2 = -4 2 =6
<u>multiply both sides by 2.
</u>x+8=-8 y - 2 = 12
<u>x = -16</u> <u>y = 14
</u>
Final Answer: (-16, 14)
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 =
