Question

2 use the pythagorean theorem to find the distance between (3, 0) and (7, -6). round to the nearest tenth

Explanation:

Step1: Find the horizontal and vertical distances

The horizontal distance $x$ between the points $(3,0)$ and $(7, - 6)$ is the difference in $x$-coordinates: $x=\vert7 - 3\vert=4$. The vertical distance $y$ is the difference in $y$-coordinates: $y=\vert-6 - 0\vert = 6$.

Step2: Apply the Pythagorean Theorem

The Pythagorean Theorem for the distance $d$ between two points is $d=\sqrt{x^{2}+y^{2}}$. Substitute $x = 4$ and $y = 6$ into the formula: $d=\sqrt{4^{2}+6^{2}}=\sqrt{16 + 36}=\sqrt{52}$.

Step3: Simplify and round

$\sqrt{52}\approx7.2$.

Answer:

$7.2$