Answer:
x = - 3 ± 
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
The intersection of two planes is a line.
Answer:
Lateral surface area of the storage shed = 336 ft²
Step-by-step explanation:
The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.
lateral area of a rectangular prism = 2h (l + w)
where
l = length
h = height
w = width
h = 8 ft
l = 14 ft
w = 7 ft
lateral area of a rectangular prism = 2h (l + w)
lateral area of a rectangular prism = 2 × 8 × (14 + 7)
lateral area of a rectangular prism = 16 (21)
lateral area of a rectangular prism = 336 ft²
Lateral surface area of the storage shed = 336 ft²
Answer:(a) n=0.233
Step-by-step explanation:
Given
We Know according to Taylor tool life
V=cutting speed
T=tool life
n=tool life exponent
c=constant
taking log both side
n=0.233
Answer:
Length of an edge=4.0825 inches
Approximately 4.1 inches
Step-by-step explanation:
Lateral surface area of a cube=100 square inches
There are 6 square surfaces on a cube.
6a^2=surface area of a cube
6a^2=100
Divide both sides by 6
a^2=100/6
a^2=16.6667
Find the square root of both sides
√a^2=√16.6667
a=√16.6667
x=4.0825 inches
Length of an edge=4.0825 inches
