Use the number line to determine the absolute value. enter the value, as a mixed number in simplest form, in the box. ∣∣−223∣∣ =

Step-by-step explanation:

we know that

Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

In this problem

we have to find the absolute value of the given number

that means we have to find the distance of  from the origin of a number line.

Distance of from the origin is .

Remember that the distance cannot be a negative number.

Therefore, the absolute value of is

see the attached figure to better understand the problem

it is true

step-by-step explanation:

all the combinations add up i used   calculator

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4