Arectangle is drawn on a coordinate plane. three vertices of the rectangle are points a(−6,5) , c(4,−3) , and d(−6,−3) . point b is the fourth vertex of the rectangle. what is the distance from point a to point b? enter your answer in the box.

Find the value of the variable and the length of each chord for #5 and #6.

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec

What is the value of 4x to the third +4x if x is 4