Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below
<h3>Data obtained from the questio</h3>
- (p - 1/p) = 4
- p² + 1/p² = ?
<h3>How to determine the value of p² + 1/p²</h3>
(p - 1/p) = 4
Square both sides
(p - 1/p)² = (4)²
(p - 1/p)² = 16 ....(1)
Recall
(a - b)² = a² + b² - 2ab
Thus,
(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)
(p - 1/p)² = p² + 1/p² - 2
From equation (1) above,
(p - 1/p)² = 16
Therefore,
p² + 1/p² - 2 = 16
Rearrange
p² + 1/p² = 16 + 2
p² + 1/p² = 18
Thus, the value of p² + 1/p² is 18
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C as anything greater than -4 wouldn't be included within the solution set
The formula to find the surface area of a cuboid is 2(a^2+b^2+c^2) (^2 is just to the second power or squared or whatever you call it but it cant supersript so it looks messy sorry) so in this instence it would be 2(2^2+5^2+3^2) which equals 76
Answer:
y = 12x+16
Step-by-step explanation:
Simplify both sides of the equation then isolate the variable.
Step 1, add 11 to both sides.
−1
/2
y+11+−11=6x+3+−11
−1
/2
y=6x−8
Step 2, divide both sides by (-1)/2.
You will be left with
y = 12x+16
Answer:
Step-by-step explanation:
We know that the height of a parallelogram can be found by divind the area by the lenght of the base.
The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:
