Answer:
15+6+2=23
Step-by-step explanation:
![\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5\sqrt{2}}{8\sqrt{2}}}\\=\sqrt[3]{\frac{9\sqrt{5}}{2\sqrt{3}}\cdot\frac{5}{8}}\\=\sqrt[3]{\frac{45\sqrt{5}}{16\sqrt{3}}}\\=\sqrt[3]{\frac{45\sqrt{15}}{16}}\\=\sqrt[3]{\frac{3\cdot\sqrt{15^3}}{16}}\\=\frac{\sqrt[3]{3}\cdot\sqrt{15}}{2\cdot\sqrt[3]{2}}\\=\frac{\sqrt[3]{6}\cdot\sqrt{15}}{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%5Csqrt%7B2%7D%7D%7B8%5Csqrt%7B2%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B9%5Csqrt%7B5%7D%7D%7B2%5Csqrt%7B3%7D%7D%5Ccdot%5Cfrac%7B5%7D%7B8%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B5%7D%7D%7B16%5Csqrt%7B3%7D%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B45%5Csqrt%7B15%7D%7D%7B16%7D%7D%5C%5C%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3%5Ccdot%5Csqrt%7B15%5E3%7D%7D%7B16%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B3%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%5Ccdot%5Csqrt%5B3%5D%7B2%7D%7D%5C%5C%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B6%7D%5Ccdot%5Csqrt%7B15%7D%7D%7B2%7D)
we want it in the form of ![\frac{\sqrt{a}\sqrt[3]{b}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Ba%7D%5Csqrt%5B3%5D%7Bb%7D%7D%7Bc%7D)
, so a = 15, b=6, c=2
also this is the minimum possible value, as we cannot simplify it further
ANSWER: y=7x-33
EXPLANATION: Parallel lines have the same slope but different y intercepts so first turn the eq of the first line into slope intercept form by subtracting -14x and dividing by -2, we get a slope of 7 and we know a parallel line has the same slope so y=7x+b, plug in the values of x and y in the coordinates and add like terms and we get b is equal to -33 so the equation is y=7x-33
