Remark
You'll see it a whole lot easier if you make a substitution so that it looks like something you have already seen
Solution
let y = x^2
x^4 = x^2 * x^2
x^4 = y * y
x^4 = y^2
Now the expression becomes
y^2 + 8 y - 9 = z
(y + 9)(y - 1) = z
Now put the x^2 back in.
(x^2 + 9) ( x^2 - 1) = z
x^2 - 1 becomes x + 1 and x - 1. At this level x^2 + 9 can't be factored.
Answer
(x^2 + 9) (x + 1)(x - 1)
Aww hopefully things will get better! :))
The answer would be 14^4
Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
Answer:
a) The slope of the line is 
b) The slope of the line is 1
Step-by-step explanation:
The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = 
a)
∵ The line passes through points (-3, 4) and (2, -8)
∴ x1 = -3 and y1 = 4
∴ x2 = 2 and y2 = -8
→ Substitute them in the rule of the slope above to find it
∵ m = 
= 
= 
∴ m =
∴ The slope of the line is
b)
∵ The line passes through points (5, -3) and (1, -7)
∴ x1 = 5 and y1 = -3
∴ x2 = 1 and y2 = -7
→ Substitute them in the rule of the slope above to find it
∵ m = 
= 
= 
∴ m = 1
∴ The slope of the line is 1
Answer:
any even number, so 2, 4, 6, 8
Step-by-step explanation:
