Step-by-step explanation:
The sum of two opposite interior angles equals an exterior angle
50+?=115
?=115-50=65°
53/3
we can't divide this term perfectly because 53 is not 3's double number.
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:
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Answer:
1
8
4
−
3
3
−
2
3
+
2
−
1
0
+
6
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
10
+
6
18x4−3x3−2x3+x2−10+6
1
8
4
−
3
3
−
2
3
+
2
−
4
18
x
4
−
3
x
3
−
2
x
3
+
x
2
−
4
18x4−3x3−2x3+x2−4
2
Combine like terms
Solution
1
8
4
−
5
3
+
2
−
4
Step-by-step explanation:
Answer:
-7 × (-4) will have a positive product.
Step-by-step explanation:
product of the two number are positive only if the two numbers have the same sign either both (+) or both (-).
and -7 × (-4) = 28.
here 28 is positive.