A20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces

The shorter piece is 5 ft long.

The longer piece is 15 ft long.

Step-by-step explanation:

Let's write this into an equation:

(5+2x)+x=20

5+3x=20

Subtract 5 from both sides

3x=15

x=5

The shorter piece is 5 ft long.

The longer piece is 5 feet longer than 2 times 5 ft (the shorter piece).

5+2*5

5+10

15

The longer piece is 15 feet long.

Hope this helped!

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

7/2

(decimal: 3.5)

welcome ; )

step-by-step explanation: