A13-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces.

The length of the longer piece is 10 foot and the length of the shorter piece is 3 foot.

Step-by-step explanation:

Given:

let length of longer piece of string be y feet.

And length of shorter piece of string is x feet.

The total length of piece of string is 13 foot.

To Find;

x = ?

y = ?

Solution:

According to the first condition it is given that the longer piece is 4 feet longer than twice the shorter piece, when the string is cut in two pieces.

So numerically the longer piece will be given as

say equation number 1

Now given total length of the piece of string is 13 foot, that is the sum of shorter piece and longer piece. And numerically will be given as

Which is the length of shorter piece of string.

Now substitute this x value in equation 1 we will get length of longer piece

which is the length of longer piece

So, the length of shorter piece is 3 foot and the length of longer piece is 10 foot i.e in all it is 13 foot.

d. vertex

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)