Answer:
x > 2
Step-by-step explanation:
Given
- 8x + 2x - 16 < - 5x + 7x ← simplify both sides
- 6x - 16 < 2x ( subtract 2x from both sides )
- 8x - 16 < 0 ( add 16 to both sides )
- 8x < - 16 ( divide both sides by - 8 )
Remembering to reverse the symbol as a consequence of dividing by a negative value.
x > 2
Answer:
n=31.5
Step-by-step explanation:
The given question is:
Cross multiply to get:
Expand the parenthesis:
Group similar terms:
Combine the like terms
Divide both sides by 4
n=31.5
Answer:
The simplified version of is .
Step-by-step explanation:
The given expression is
According to the property of radical expression.
Using this property we get
Therefore the simplified version of is .
Triangular prism
length of slanted side:
sqrt(3^2 + 4^2) = 5
SA = 2(1/2)(8)(3) + 8(12) + 2(5)(12) =240
V = (1/2)(8)(3)(12) = 144
cuboid
SA = 2(7x6) + 2(7x5) + 2(6x5) = 214
V = 7x6x5 = 210
Answer:
a7 = 36
Step-by-step explanation:
Here, we are to use the recursive formula to calculate the 7th term( we add the preceding term to 4 so as to get the succeeding term)
a1 = 12
using the recursive formula given in the question
a2 = 12 + 4 = 16
a3 = 16 + 4 = 20
a4 = 20 + 4 = 24
a5 = 24 + 4 = 28
a6 = 28 + 4 = 32
a7 = 32 + 4 = 36