Apedestrian bridge is 53 meters long. due to changes in temperature, the bridge may expand or contract by as much as 21 millimeters. write and solve an absolute-value equation to find the minimum and maximum lengths of the bridge.

Length of bridge = 53 meters

Length changes expected due to changes in temperature = expansion or contraction by 21 millimeters (or 0.021 meters)

Let length of bridge at any given time be 'a'

As an absolute value equation, the situation can be expressed as:

⇒ |a-53| < 0.021

Solving the equation

⇒ -0.021 < a-53 < 0.021

⇒ 53 - 0.021 < a < 53 + 0.021

⇒ 52.979 < a < 53.021

Hence, the minimum length of the bridge can be 52.979 meters and the maximum length of the bridge can be 53.021 meters.

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,