Answer:
4.5
Step-by-step explanation:
when the height is 0 the ball will hit the ground
so the equation is
-12t²+54t=0
12t²-54t=0
2t²-9t=0
t(2t-9)=0
t=0
t=4.5
so the answer is
4.5
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
Standard Form : ( x - 1 ) ^2 + ( y + 3 ) ^2 = 5
Center of the circle : ( 1 , -3 )
Radius: line mark over 5
Squares are cut from the corner, so we are left with only one variable.
The area of a rectangle, the bottom of the pan, is base*height.
Let's call the sides of the removed squares "x"
so 192 = (20-x)(24-x) foil to expand the binomials
192 = 480 - 44x - x squared Take 192 away from both sides
0 = 288 - 44x - x squared
0 = (36 - x)(8-x)
x = 36 and x = 8
Because 36 > 24 and 36 > 20, in this case, the squares cannot be
36cm x 36cm and therefore must be 8cm x 8cm.
Check:
(20-8)(24-8) = 192
Answer:
equation: 9x+6=60
solution: 6
Step-by-step explanation:
