Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the distance between the pair of points. give an exact answer and …

Question

find the distance between the pair of points. give an exact answer and a three - decimal - place approximation. (0, - 3√5) and (√3,0) the exact distance is 4√3 units. (type an exact answer, using radicals as needed. simplify your answer.) the decimal approximation is units. (type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Calculate the decimal value of \(4\sqrt{3}\)

We know that \(\sqrt{3}\approx1.73205\).
Multiply \(4\) by \(\sqrt{3}\): \(4\times\sqrt{3}=4\times1.73205\)

Step2: Get the result

\(4\times1.73205 = 6.9282\)
Rounding to three decimal places gives \(6.928\)

Answer:

\(6.928\)