TALK the TALK Connecting Similar Triangles
and Slope of a Line
Audra was absent for this lesson on the connection between
similar triangles and the slope of a line. Write an explanation of
what you learned in this lesson. Be sure to include how you can
use a graph to determine the slope of a non-vertical line, and
how you can use similar triangles to show the slope is the same
between any two points on the line.
YA
15
10
B
5
-20-15-10
10 15 20
CA
-20
D
25

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?