Answer:
Periodic
Step-by-step explanation:
Because the terms repeat, this is a periodic sequence.
<h3>
Answer: 8p^3 + 10p^2 + 14p</h3>
Explanation:
The outer term 2p is distributed among the three terms inside the parenthesis. We will multiply 2p by each term inside
2p times 4p^2 = 2*4*p*p^2 = 8p^3
2p times 5p = 2*5*p*p = 10p^2
2p times 7 = 2*7p = 14p
The results 8p^3, 10p^2 and 14p are added up to get the final answer shown above. We do not have any like terms to combine, so we leave it as is.
Answer:
(
) || (
)
Step-by-step explanation:
When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines (
) and (
) are parallel.
The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.
Answer:
16 bicycles and 21 tricycles
Step-by-step explanation:
Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.
Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:
b + t = 37
2b + 3t = 95
Solve by elimination by multiplying the top equation by -2:
-2b - 2t = -74
2b + 3t = 95
t = 21
Then, plug in 21 as t into one of the equations:
b + t = 37
b + 21 = 37
b = 16
So, there are 16 bicycles and 21 tricycles