Shelby has a lemonade stand in her front yard. She has enough supplies to make a maximum of 192 ounces of lemonade. A large cup holds 14 ounces of lemonade and a small cup holds 8 ounces of lemonade. x = number of large cups y = number of small cups Which inequality in standard form represents this situation? A) 14 + x + 8 + y ≥ 192 B) 14 + x + 8 + y ≤ 192 C) 14x + 8y ≥ 192 D) 14x + 8y ≤ 192

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:

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

on the middle line

step-by-step explanation:

1/5=50