System of equations graphed below had How many equations?

Mathematics

1 answer:

Dominik [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The solution of the system of equations are the coordinates of the point of intersection.

We have two parallel lines. The intersection point does not exist.

Therefore, this system of equations has no solution.

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Simplify the radical <br> Sqrt 84x^7

pentagon [3]

Answer:

$\large\boxed{\sqrt{84x^7}=2x^3\sqrt{21x}}$

Step-by-step explanation:

$Domain:\ x\geq0\\\\\sqrt{84x^7}=\sqrt{4\cdot21\cdot x^{6+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{4\cdot21\cdot x^6\cdot x^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{21}\cdot\sqrt{x^{3\cdot2}}\cdot\sqrt{x}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=2\cdot\sqrt{21}\cdot\sqrt{(x^3)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt{21}\cdot x^3\cdot\sqrt{x}=2x^3\sqrt{21x}$