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Rufina [12.5K]
3 years ago
10

Polygon H is a scaled copy of Polygon G using a scale factor of 1/4

Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

\frac{1}{16}

Step-by-step explanation:

Given the scale factor 1 : 4 , then

the area factor = 1² : 4² = 1 : 16

That is area of polygon H is \frac{1}{16} area of polygon G

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What are the restrictions for a? 2a^2+a-15/5a^2+16a+3
koban [17]

ANSWER


The restrictions are

a\ne -3,a\ne -\frac{1}{5}


EXPLANATION


We were given the rational function,


\frac{2a^2+a-15}{5a^2+16a+3}


The function is defined for all values of a, except



5a^2+16a+3=0


This has become a quadratic trinomial, so we need to split the middle term.


We do that by multiplying the coefficient of x^2 which is 5 by the constant term which is 3. This gives us 15.


The factors of 15 that adds up to 16 are 1 and 15.


We use these factors to split the middle term.




5a^2+15a+a+3=0


We now factor to get,


5a(a+3)+1(a+3)=0


We factor further to get,


(a+3)(5a+1)=0



This implies that,


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This gives


a=-3,a=-\frac{1}{5}


These are the restrictions.





8 0
3 years ago
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