A. 52 seconds
B. 120 seconds
C. 75 seconds
D. 3,480 seconds

3480 seconds and 5420 feet

Step-by-step explanation:

We can set an equation for both Keith and Erica. Let t = time in seconds.

Keith's BalloonHeight = 1.5*t+200ft

Erica's Balloon Height = 1.4*t+548ft

We want to know when E=K (same height)

1.4*t+548ft = 1.5*t+200ft

348 = 0.1t

t = 3480 seconds

Use this time in either Keith's or Erica's Height formula:

Keith Balloon Height: 1.5*t+200ft for t=3480

1.5*(3480)+548

Keith's Height in 3460 sec: 5420 feet

Erik's Balloon Height: = 1.4*t+548ft

= 1.4*(3480)+548ft

Erik's Height in 3480 sec: 5420 feet

The two lines intersect at (3460,5420). At 3460 seconds both balloons will be at 5420 feet.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

really really sorry if i'm

-12 -5(x + 4) = 3x

-12 - 5x - 20 = 3x

-12 - 20 - 5x = 3x

-32 - 5x = 3x

    + 5x   + 5x

-32 = 8x

8         8

- 4= x