What is the equation of the line that passes through the point (-3, 5) with a slope of 4?

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Ответ:

tess92

03.07.2022

Mathematics

$\large\boxed{5x^2y^3\sqrt{5y}}$

Step-by-step explanation:

$\sqrt{125x^4y^7}=\sqrt{25\cdot5\cdot x^{2+2}\cdot y^{2+2+2+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}}\\\\=\sqrt{25\cdot5\cdot x^2\cdot x^2\cdot y^2\cdot y^2\cdot y^2\cdot y^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt{25}\cdot\sqrt5\cdot\sqrt{x^2}\cdot\sqrt{x^2}\cdot\sqrt{y^2}\cdot\sqrt{y^2}\cdot\sqrt{y^2}\cdot\sqrt{y}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=5\cdot\sqrt5\cdot x\cdot x\cdot y\cdot y\cdot y\cdot\sqrt{y}\\\\=5x^2y^3\sqrt{5y}$

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