Answer:
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Step-by-step explanation:
Simplifying the numerator :
⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³
⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)
⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶
⇒ <u>-40m¹⁹n⁹p¹¹</u>
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Dividing by the denominator :
⇒ 
⇒
Answer:g(x) is flipped and 2 times as steep and shifted left 5
Step-by-step explanation:
The answer is: x = 2 ∨ x = -1
A- Perpendicular lines have negative reciprocal slopes. Therefore a perpendicular line to 2x-8 will have a slope of -1/2. Once solved in slope intercept form, choice A shows a line of slope -2/4, equivalent to -1/2
Answer:
Step-by-step explanation:
Question (1).
OQ and RT are the parallel lines and UN is a transversal intersecting these lines at two different points P and S.
A). ∠OPS ≅ ∠RSU [corresponding angles]
B). m∠OPS + m∠RSP = 180° [Consecutive interior angles]
C). m∠OPS + m∠OPN = 180° [Linear pair of angles]
D). Since, ∠OPS ≅ ∠TSP [Alternate interior angles]
And m∠TSP + m∠TSU = 180° [Linear pair of angles]
Therefore, Option (A) is the correct option.
Question (2).
A). m∠RSP + m∠RSU = 180° [Linear pair of angles]
B). m∠RSP + m∠PST = 180° [Linear pair of angles]
C). ∠RSP ≅ ∠TSU [Vertically opposite angles]
D). m∠RSP + m∠OPS = 180° [Consecutive interior angles]
Therefore, Option (C) will be the answer.
