A map has a scale of 1/2 inch =75 miles. If two cities are 3 3/4 inches apart, how many miles apart are they really

3 3/4 inches = 562.5 miles

Step-by-step explanation:

Given that,

1/2 inch = 75 miles

It means,

1 inch = (75×2) miles

= 150 miles

3 3/4 inches= 15/4 inches

So,

Hence, 3 3/4 inches is equal to 562.5 miles.

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.