Answer:
the benches are 0.8 and 1.6 miles from the ends of the path
Step-by-step explanation:
The first bench is 1/3 of the path's length from the beginning of the path:
(1/3)×(2.4 mi) = (2.4/3) mi = 0.8 mi
The second bench is 2/3 of the path's length from the beginning of the path:
(2/3)×(2.4 mi) = (2.4×2/3) mi = 4.8/3 mi = 1.6 mi
The benches are 0.8 mi and 1.6 mi from the beginning of the path.
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Of course, 0.8 mi from the beginning is 2.4-0.8 = 1.6 mi from the end, and vice-versa.
Answer:

Step-by-step explanation:
- Since 2 opposite add up to 0,remove them from the expression (+4ab, - 4ab)
2. Calculate the product
The square roots of 289 are 17 and -17, so answers DE and OF. Hope this helps:)
The quadratic formula is:

and

Let's identify our a, b, and c values:
a: -1
b: 1
c: 12
Plug in the values for a, b, and c into the equation. Let's do the first equation:

Simplify everything in the radical:

Simplify the radical:

Combine like terms:

Simplify:

This is one solution, now, let's solve for the other equation:
Since when simplified, everything is the same except the subtraction sign, we can skip the simplification again and change the sign to subtraction:

Combine like terms:

Simplify:

Your final answers are:

