3 years ago

)Figure XYZ is reflected about the y-axis to obtain figure X’Y’Z’:

2 answers:

8 0

B. Figure XYZ is congruent to figure X'Y'Z'
All you are doing is rotating the figure so therefore you are not changing the shape or size.
Hope this helps you.

stellarik [79]3 years ago

8 0

Answer:

Step-by-step explanation:

edge 2020

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Step-by-step explanation:

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2 years ago

Prove that an = 4^n + 2(-1)^nis the solution to

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Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

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3 years ago