During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet.

Use f(x) = -12x^2 + 60x + 5 to help you answer the following questions,

a. How long will it take for the T-shirt to reach maximum height?

b. What is the maximum height ?

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

....(1)

(a) For maximum height, put

So,

Now put,

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

cut 138 centimeters off

step-by-step explanation:

250-112 = 138