for a stem competition, julienne constructed a model rocket. the rocket can reach an average height of 545 feet. find the differences between the average heigh and the actual heights reached. then write then as positive and negative rational numbers. order the differences from least to greatest.

actual heights

534.2

556.4

554.0

535.3

In the proof of the triangle angle sum theorem, you must draw an auxiliary line. which construction must you use to draw this line?

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Solve the following system algebraically. y = x2 – 9x + 18 y = x – 3 a. (3,1) and (5,3) b. (3,0) and ( 4,2) c. (–4,5) and (7,–10) d. (7,4) and (3,0)