Aiden wanted to model -15 + 15 = 0 on the number line. he first drew an arrow 15 units long starting from zero that pointed to the left. he then draws another arrow 15 units long starting from zero that points to the right. what error did aiden make?

Afarmer has a large field that is x feet in length. he wants to fence in a rectangular section in the middle of the field , leaving a length of 100 feet of open field behind each end of the fenced rectangle. he also wants the width of the fenced-in space to be 100 feet less than its length. find the expressions to represent the length and width of the fenced section of the field

Write the equation in logarithmic form m^x=n

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.