6. How far is it from the point (-5, 7) to the point (6,-2)? Round your answer to the nearest tenth.

14.2 units

Step-by-step explanation:

Here x increases by 11 from -5 to +6.  This is the length of the horizontal leg of a right triangle.  Then y decreases by 9 from 7 to -2.  This is the length of the vertical leg.  The hypotenuse of this triangle may be found using the Pythagorean Theorem:

11^2 + 9^2 = (hypotenuse)^2, or

hypotenuse = √(121 + 81) = √202 ≈ 14.2 units

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are