Find the magnitude and direction of -5i + 10j

  |-5i+10j| = 5√5 ≈ 11.18

  ∠(-5i+10j) ≈ 116.57°

Step-by-step explanation:

The magnitude is given by the Pythagorean theorem:

  |-5i+10j| = √((-5)² +10²) = √125 = 5√5

The direction is found using the arctangent function. The angle is a second-quadrant angle.

  ∠(-5i+10j) = arctan(10/-5) ≈ 180° -63.43° = 116.57°

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.