A wire 23 cm long is cut into two pieces. The longer piece is 7 cm longer than the shorter piece. Find the length of the shorter piece of wire

Length of a wire = 23 cm

Given that :

▪︎The wire was cut into two pieces.

▪︎The longer piece of wire is 7 cm longer than the shorter piece of wire.

Let the shorter piece of wire be x.

Then, the longer piece of wire = x+7

An equation that can be derived from these statements :

▪︎x + x + 7 = 23

Let us solve this equation :

Thus, the value of x = 8.

Which means :

Length of the shorter piece of wire = 8 cm

Length of the longer piece of wire = 8 + 7 = 15 cm

Since the length of the two wires add up to form 23 cm(8+15=23), we can conclude that we have found out the correct measures of each wire.

Therefore, the length of the shorter piece of wire = 8 cm

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )