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
Learn more about algebra:
brainly.com/question/953809
#SPJ1
Answer:
7x ≥ 8y
Step-by-step explanation:
The first hen laid 7 eggs per week for x weeks. 7x
The second hen laid 8 eggs per week for y weeks. 8y
The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.
7x ≥ 8y
Answer:
No
Step-by-step explanation:
This is because K and B don't share the same angle measurement. They both will be different numbers that must equal 180 degrees. With that K will be corresponding with J while B will be corresponding with D.
Hope this Helped
Answer:
x = - 2 or x = 4
Step-by-step explanation:
the expression inside the absolute value can be positive or negative
Removing the bars and solve x - 1 = ± 3
x - 1 = - 3 or x - 1 = 3
x - 1 = - 3 ( add 1 to both sides ) ⇒ x = - 2
x - 1 = 3 ( add 1 to both sides ) ⇒ x = 4
Answer:
Step-by-step explanation:
We are given the following in the question:
We have to prove:
Proof:
we can write:
Hence, the two triangle are congruent by SAS congruency rule.
The attached image shows the two triangle.
