ST is a midsegment, which tells you that BD=2(ST) or ST=½BD. Use that to substitute the values and find ST.
BD=2(ST)
29+x=2(2x+31)
29+x=4x+62
29=3x+62
-33=3x
x=-11
Now that we know x, we can substitute that into 2x+31 to find ST
ST=2x+31
ST=2(-11)+31
ST=-22+31
ST=9

7 0

3 years ago

A ball is projected up into the air from the surface of a platform to the ground below. The height of the ball above the ground,

mezya [45]

Answer:

112 ft
3 - 7 seconds interval

Step-by-step explanation:

Given function:

f(t) = -16t² + 96t + 112

The height of the platform is the y-intercept, when t = 0:

f(0) = - 16*0 + 96*0 + 112 = 112 ft

The ball's height is decreasing once it reaches the maximum, which is at vertex.

The vertex is at x = -b/2a:

t = - 96/ - 32 = 3

The ball hits the ground when f(t) = 0:

- 16t² + 96t + 112 = 0
t² - 6t - 7 = 0
(t - 7)(t + 1) = 0
t = 7 (positive root)

The interval is between 3 seconds and 7 seconds

8 0

2 years ago

Albert is tossing bean bags at a target. He hit the target on 6 out of his last 20 tries

GaryK [48]

Answer:

26 tries

Step-by-step explanation:

he had 26 tries and only 6 tries hit the target and the other 20 were misses

5 0

3 years ago