5. heathcliff found a road map showing the driving route to a resort that he knows gertrude enjoys. the map shows a roadway, starting from heathcliff's position, that goes 8 miles north, 5 miles east, 7 miles north and finally 3 miles east. how many miles will be saved if heathcliff and gertrude fly directly to the resort?

6 miles will be saved.

Step-by-step explanation:

The total distance that he traveled is: 8 miles + 7 miles =15 miles to north.

And 5 miles + 3 miles = 8 miles to east.

Then the total distance is 15 miles + 8miles = 23 miles

If they did the direct path, the hipotenuse of a triangle with sides of 15miles and 8 miles, the distance would be:

D = √(15^2 + 8^2) = 17 miles

And the difference is equal to 23 miles - 17 miles  = 6 miles

So they will save 6 miles if they use a direct path.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!