MEASURING LINE SEGMENTS a. Fold a 3-inch by 5-inch index card on one of its diagonals.
b. Use the Pythagorean Theołem to algebraically determine the length of the diagonal in inches. Use a ruler to check your answer.
c. Measure the length and width of the index card in paper clips.
d. Use Pythagorean Theron to algebraically determine the length of the diagonal in paper clips. Does the pythagorean Theorem work for any unit of measure?

Arley is building a model of a city map. in one part of the city, three roads form a right triangle, which harley draws as triangle abc, with the following measures: m∠b=90° and m∠a=30°. in his scale model, the hypotenuse of triangle abc, ac¯¯¯¯¯¯¯¯, has a length of 817−−√ cm. what is the value of a (the length of bc¯¯¯¯¯¯¯¯)?

Which graph represents the equation y =4x

A. plot the data for the functions f(x) and g(x) on a grid and connect the points. x -2 -1 0 1 2 f(x) 1/9 1/3 1 3 9 x -2 -1 0 1 2 g(x) -4 -2 0 2 4 b. which function could be described as exponential and which as linear? explain. c. if the functions continue with the same pattern, will the function values ever be equal? if so, give estimates for the value of x that will make the function values equals. if not, explain why the function values will never be equal.