Attend to precision. The equation y − 160 = 40(x − 1) represents the height in feet, y, of a hot-air balloon x minutes after the pilot started her stopwatch. a. Is the hot-air balloon rising or descending? Justify your answer.
b. At what rate is the hot-air balloon rising or descending? Be sure to use appropriate units.
c. What was the height of the balloon when the pilot started her stopwatch?

Step-by-step explanation:

a. the balloon is rising because the slope is positive. the slope is 40 because when you simplify y-160 = 40 (x-1) it gets you y = 40x +120

b. it is ascending (bc positive) at 40 feet per minute

c. it was at 120 feet in the air. The 120 is the y intercept

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

well we know there are 4 clubs in 52 cards so it’s replaced so it should be 3/51

step-by-step explanation: