Challenge Simplify each radical expression.
- V24 • V2x • V3x 75. 2b{V5b)2 76. V 45a7 • V20a
- Geometry Ihe equation r = gives the radius r of a circle with area A. What is
the radius of a circle with the given area? Write your answer as a simplified radical
and as a decimal rounded to the nearest hundredth.
a. 50 ft2 b. 32 in.2 c. 10 m2 - For a linear equation in standard form Ax + By = C, where A # 0 and B ¥= 0, the
distance d between the x- and y-intercepts is given by d = + (§) • What is
the distance between the x- and y-intercepts of the graph of 4x - 3y = 2?N
Apply What You've Learned pr a ct icesLook back at the information about the formula s = V30fd on page 613.
The table giving several coefficients of friction is shown again below.Typical Coefficients
of FrictionMP 6a. Based on the surface material of Pine Street, write and simplify a formula that gives
the speed s of a car in terms of the length d of the skid marks, where s is in miles per
hour and d is in feet.
b. In the Apply What You’ve Learned in Lesson 10-1, you found the length of the skid
marks left by the car described on page 613. Use this value and the formula you
found in part (a) to write a radical expression that gives the speed, in miles per
hour, of the car. Give your answer in simplest radical from.
c. Suppose Pine Street was paved with gravel instead of asphalt. How would this
change your answers to parts (a) and (b)? Does a decrease in the coefficient of
friction lead to an increase or a decrease in the calculated speed of the car? Explain.p~BS.Pow erAlg eb ra.com Lesson 10-2 Sim plifying Radicals^625