The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown. 8x2 + 80x = −5 8(x2 + 10x) = −5 8(x2 + 10x + 25) = −5 + which number is missing in the last step? −200 −25 25 200

Atriangle in the coordinates of (2,3), (-4,5) and (-2,4) it is translated 3 units down. what are it’s new coordinates

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

The first and second steps to solve the equation 3x/5 + 5 = 20.are shown below 3x/5 + 5 - 5 = 20 - 5 3x/5 (5/3) = 15 (5/3)a. addition property of equality b. subtraction property of equalityc. multiplication property of equalityd. division property of equality