What is the distance between the points A(11, 2) and B(5, 10)?

10 units

Step-by-step explanation:

You use the Pythagorean Theorem to find that the difference in x coordinates is 6, and in y coordinates is 8. You don't make the 6 negative because you are looking for distance, not direction (think scalar, not vector if that helps). Then you square the two terms to get 36 (6 squared) + 64 (8 squared) = 100 (sum). Then, you find the square root of 100 to get 10, which is your answer. I don't know if there's any units in it, but if there are, I would reccomend putting the corresponding units. Hope this helps!

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629