Answers:
<u>Reduce:</u>
Here we gave to simplify the expressions:
9) ![x^{2}+7x+\frac{12}{x^{2}}+11x+28](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B7x%2B%5Cfrac%7B12%7D%7Bx%5E%7B2%7D%7D%2B11x%2B28)
Grouping similar terms:
![(x^{2}+\frac{12}{x^{2}})+(18x+28)](https://tex.z-dn.net/?f=%28x%5E%7B2%7D%2B%5Cfrac%7B12%7D%7Bx%5E%7B2%7D%7D%29%2B%2818x%2B28%29)
Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
11) ![y^{3}+\frac{27}{y^{2}}+2y-3](https://tex.z-dn.net/?f=y%5E%7B3%7D%2B%5Cfrac%7B27%7D%7By%5E%7B2%7D%7D%2B2y-3)
Rearranging the terms:
![(y^{3}+2y)+(\frac{27}{y^{2}}-3)](https://tex.z-dn.net/?f=%28y%5E%7B3%7D%2B2y%29%2B%28%5Cfrac%7B27%7D%7By%5E%7B2%7D%7D-3%29)
Applying common factor
in the first parenthesis and common factor
in the second parenthesis:
This is the answer
<u>Multiply:</u>
19) ![(\frac{12a^{9}u^{7}}{15 c})(\frac{3c^{4}}{21a^{13 u^{8}}})](https://tex.z-dn.net/?f=%28%5Cfrac%7B12a%5E%7B9%7Du%5E%7B7%7D%7D%7B15%20c%7D%29%28%5Cfrac%7B3c%5E%7B4%7D%7D%7B21a%5E%7B13%20u%5E%7B8%7D%7D%7D%29)
Multiplying both fractions:
![\frac{36 a^{9}u^{7}c^{4}}{315 c a^{13}u^{8}}](https://tex.z-dn.net/?f=%5Cfrac%7B36%20a%5E%7B9%7Du%5E%7B7%7Dc%5E%7B4%7D%7D%7B315%20c%20a%5E%7B13%7Du%5E%7B8%7D%7D)
Dividing numerator and denominator by 3 and simplifying:
This is the answer
21) ![(x-\frac{3}{x}-7)(x^{2}-9x+\frac{35}{x^{2}}-18)](https://tex.z-dn.net/?f=%28x-%5Cfrac%7B3%7D%7Bx%7D-7%29%28x%5E%7B2%7D-9x%2B%5Cfrac%7B35%7D%7Bx%5E%7B2%7D%7D-18%29)
![(\frac{x^{2}-3-7x}{x})(\frac{x^{4}-9x^{3}+35-18x^{2}}{x^{2}})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx%5E%7B2%7D-3-7x%7D%7Bx%7D%29%28%5Cfrac%7Bx%5E%7B4%7D-9x%5E%7B3%7D%2B35-18x%5E%7B2%7D%7D%7Bx%5E%7B2%7D%7D%29)
Operating with cross product:
![x^{2} (x^{2}-3-7x) x(x^{4}-9x^{3}+35-18x^{2})](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%28x%5E%7B2%7D-3-7x%29%20x%28x%5E%7B4%7D-9x%5E%7B3%7D%2B35-18x%5E%7B2%7D%29)
![x^{9} -9x^{8} -18x^{7}+35x^{5}-7x^{8} +63x^{7}+126x^{6}-245x^{4}-3x^{7}+27x^{6}+54x^{5}-105x^{3}](https://tex.z-dn.net/?f=x%5E%7B9%7D%20-9x%5E%7B8%7D%20-18x%5E%7B7%7D%2B35x%5E%7B5%7D-7x%5E%7B8%7D%20%20%2B63x%5E%7B7%7D%2B126x%5E%7B6%7D-245x%5E%7B4%7D-3x%5E%7B7%7D%2B27x%5E%7B6%7D%2B54x%5E%7B5%7D-105x%5E%7B3%7D)
Grouping similar terms and factoring:
This is the answer
<u>Divide:</u>
29) ![\frac{\frac{k^{6}}{x^{2}}}{\frac{2k^{4}}{3x^{6}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bk%5E%7B6%7D%7D%7Bx%5E%7B2%7D%7D%7D%7B%5Cfrac%7B2k%5E%7B4%7D%7D%7B3x%5E%7B6%7D%7D%7D)
![\frac{3k^{6}x^{6}}{2x^{2}k^{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B3k%5E%7B6%7Dx%5E%7B6%7D%7D%7B2x%5E%7B2%7Dk%5E%7B4%7D%7D)
Simplifying:
This is the answer
33) ![\frac{\frac{x+5}{x+1}}{\frac{x^{2}+11x+30}{x^{2}+3x+2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx%2B5%7D%7Bx%2B1%7D%7D%7B%5Cfrac%7Bx%5E%7B2%7D%2B11x%2B30%7D%7Bx%5E%7B2%7D%2B3x%2B2%7D%7D)
![\frac{(x+5)(x^{2}+3x+2)}{(x+1)(x^{2}+11x+30)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B5%29%28x%5E%7B2%7D%2B3x%2B2%29%7D%7B%28x%2B1%29%28x%5E%7B2%7D%2B11x%2B30%29%7D)
Factoring numerator and denominator:
![\frac{(x+5)(x+2)(x+1)}{(x+1)(x+6)(x+5)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B5%29%28x%2B2%29%28x%2B1%29%7D%7B%28x%2B1%29%28x%2B6%29%28x%2B5%29%7D)
Simplifying:
This is the answer
37) ![\frac{\frac{x-10}{x+13}}{\frac{x^{3}-1000}{x^{2}+15x+21}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7Bx-10%7D%7Bx%2B13%7D%7D%7B%5Cfrac%7Bx%5E%7B3%7D-1000%7D%7Bx%5E%7B2%7D%2B15x%2B21%7D%7D)
![\frac{(x-10)(x^{2}+15x+21)}{(x+13)(x^{3}-1000)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-10%29%28x%5E%7B2%7D%2B15x%2B21%29%7D%7B%28x%2B13%29%28x%5E%7B3%7D-1000%29%7D)
Applying the distributive property in numerator and denominator:
![\frac{x^{3}+15x^{2}+21x-10x^{2}-150x-210}{(x+13)(x^{4}-1000x+13x^{3}-13000)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B3%7D%2B15x%5E%7B2%7D%2B21x-10x%5E%7B2%7D-150x-210%7D%7B%28x%2B13%29%28x%5E%7B4%7D-1000x%2B13x%5E%7B3%7D-13000%29%7D)
Grouping similar terms and factoring by common factor:
![-\frac{5x(x^{2}-129)(x^{2}-42)}{1000x^{3} (x+13)(x-13)}](https://tex.z-dn.net/?f=-%5Cfrac%7B5x%28x%5E%7B2%7D-129%29%28x%5E%7B2%7D-42%29%7D%7B1000x%5E%7B3%7D%20%28x%2B13%29%28x-13%29%7D)
Dividing by
in numerator and denominator and simplifying:
This is the answer
Answer:
Slope=3/4
Step-by-step explanation:
1) Label all values with x1 y1, x2 y2
Then, plug jn each value into this equation:y2-y1/x2-x1
Remember that negative values will become positive when dealjng with a subtraction sign.
5-(-1)=5+1.
---------------= 6/8
6-(-2)=6+2
After getting 6/8, simplify by the gcf (2) to get 3/4
Answer:3/4
Answer:
12 divided by 1.5 = 8 tapes
Hope this helps you
The answer is 0.00125139043