Answer:
2x4y=2... hope this helps.
In the equation y=mx+b, the variable m represents the slope of the line. Therefore, the equation -5x+2y=10 can be rearranged into 2y=5x+10. Isolate the y to get y=2.5x+5. The slope of the line is 2.5
Answer:
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B15%7D)
Step-by-step explanation:
Given
![(\frac{6}{10})^3 * (\frac{5}{9})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2)
Required
Solve:
![(\frac{6}{10})^3 * (\frac{5}{9})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2)
Simplify 6/10
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%28%5Cfrac%7B3%7D%7B5%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2)
Express 9 as 3^2
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%28%5Cfrac%7B3%7D%7B5%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B3%5E2%7D%29%5E2)
Apply law of indices
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%7D%7B5%5E3%7D%2A%20%5Cfrac%7B5%5E2%7D%7B%283%5E2%29%5E2%7D)
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%7D%7B5%5E3%7D%2A%20%5Cfrac%7B5%5E2%7D%7B3%5E4%7D)
Express as a sing;e fraction
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B3%5E3%2A5%5E2%7D%7B5%5E3%2A3%5E4%7D)
Apply law of indices:
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B5%5E%7B3-2%7D%2A3%5E%7B4-3%7D%7D)
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B5%5E1%2A3%5E1%7D)
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B5%2A3%7D)
![(\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%7D%7B10%7D%29%5E3%20%2A%20%28%5Cfrac%7B5%7D%7B9%7D%29%5E2%20%3D%20%5Cfrac%7B1%7D%7B15%7D)