Answer:
2y² + 14y - 15
Step-by-step explanation:
(2y² + 8y - 9) - (- 6y + 6)
Remove first parenthesis and distribute second by - 1
= 2y² + 8y - 9 + 6y - 6 ← collect like terms
= 2y² + 14y - 15
Answer:
Its c
Step-by-step explanation:
The relevant rules of exponents are
.. (t^a)^b = t^(a·b)
.. t^a·t^b = t^(a+b)
You have
.. (t^-4)^-9·t^2
.. = t^((-4)*(-9) +2)
.. = t^38 . . . . . . . . . . . selection C
Answer:
See answer below
Step-by-step explanation:
You could buy 242 packs but not enough to buy 243 because you can't have half of a pokemon card
Hope this helps :)
Answer:
hope it helps
Step-by-step explanation:
Let the speed of car starting from A=x km/hr and speed of car starting from B=y km/hr.The relative speed of A with respect to B when moving in the same direction =x−y km/hr.The relative speed of A with respect to B when moving in opposite direction =x+y km/hr.Distance between A and B=80 km.We know, Time=SpeedDistanceFrom the above information, we have,x−y80=8andx+y80=1+6020=34or,x−y80=8⇒10=x−y⇒x−y=10....(i)Also,x+y80=34⇒240=4(x+y)⇒x=60−y....(ii)Substituting (ii) in (i), we get,x−y=10⇒60−y−y=10⇒60−2y=10⇒2y=50⇒y=25Substituting y=25 in equation (ii), we get,x=60−y⇒x=60−25⇒x=35Thus, the speed of car starting from A=x=35 km/hr and speed of car starting from B=y=25 km/hr.
The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.
<h3>How to prove Perpendicular and Parallel Lines?</h3>
We are given that;
Line a is parallel to line b
Line m is parallel to line n.
A) We want to prove that line a is perpendicular to n.
From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.
Now, we know that by definition of a right angle that ∠1 will also be a right angle.
Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.
B) We want to prove that line b is perpendicular to n.
The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Thus, b will be perpendicular to n.
Read more about Perpendicular and parallel lines at; brainly.com/question/13657035
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