The expressions is undefined in the set of the real numbers.
Okay lets create an eqn from that information
A first int, B second int, C third int, D fourth int.
B = A + 2
C = A + 4
D = A + 6
A is the smallest integer
B + D = 0.5 (A + C)
Now lets substitute
(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist
2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6
B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0
Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4
Correct
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0
Answer:
Length is 15 inches
Width is 8 inches
Step-by-step explanation:
A = L*W
the Width = L-7
120 = L (L-7)
120 = L^2-7L
subtract 120 from each side
0 = L^2 - 7L - 120
(L-15) (L +8 )
so L = 15 inches
and W = 15-7 = 8 inches
check your answer: does 15*8 = 120? yes!
Answer:
B 137.32 cm³
Step-by-step explanation:
The original volume is
V = pi r^2 h
V = pi (3)^2 ( 12)
V =108 pi cm^2 = 339.12
the diameter increases by 1.12 6*1.12 = 6.72
r = 6.72 /2 =3.36
The height will increase by 1.12 so 12*1.12
V = pi ( 3.36)^2 ( 13.44)=476.4391834
The difference is
476.4391834 - 339.12 = 137.3191834
To the nearest hundredth
137.32
Answer:
width of one box = 1.25 inches
Step-by-step explanation:
Given data:
12 congruent boxes
Length = 25 inches
height = 2 feet
Volume = 9000 cubic inches
First change the height into inches
1 foot = 12 inches
therefore 2 feet = 24 inches
Volume = Length * width * height
9000 = 25 * width * 24
9000 = 600 * width
width = 9000/600
width = 15 inches
width of one box = width of all boxes / number of boxes
width of one box = 15/12
width of one box = 1.25 inches