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NISA [10]
3 years ago
9

Identify the equation that translates y=ln(x) five units down.

Mathematics
2 answers:
Annette [7]3 years ago
7 0
It is the last on y=in(x)-5, I just took the test and got it right
kari74 [83]3 years ago
6 0

We are given equation: y=ln(x) .

And translation is 5 units down.

We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.

For the given translation 5 unit down, 5 should be less than 0.

Number less than 0 are negative numbers.

So, we need to add -5 in the given function to ln(x).

So, we would get the final equation for five units down as

y =ln(x) - 5.

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What is the factored form of x2 - 10x + 24
umka2103 [35]

Answer:

(x-6) (x-4)

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4 0
3 years ago
List the sides of each triangle from shortest to greatest
Lelechka [254]
In every triangle, the largest side, is opposite the largest angle.

Also, the smallest side, is opposite the smallest angle.


a.70^o\ \textgreater \ 60^o\ \textgreater \ 50^o so |RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|, 

because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.

Greatest side: RQ


b. The sum of the measures of the interior angles of any triangle is 180°, 

so 

m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o

thus, m(C) is the largest angle. This means the largest side is the side AB.



Answers:

a) RQ
b)AB
8 0
3 years ago
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