95 28pºo
Which expression is equivalent to
? Assume p*0.90
12067
2
015912
7015
3712
o
2012
075
7015912
3

7p¹⁵/ 3q¹²

Step-by-step explanation:

From the question given above,

28p⁹q¯⁵ / 12p¯⁶q⁷

To know which of option is equivalent to the above expression, we shall simplify the expression as shown below:

28p⁹q¯⁵ / 12p¯⁶q⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷

Recall:

Xᵐ ÷ Xⁿ = Xᵐ ¯ ⁿ

Therefore,

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (28/12)p⁹ ¯ ¯⁶q¯⁵ ¯⁷

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p⁹⁺⁶q¯¹²

28p⁹q¯⁵ ÷ 12p¯⁶q⁷ = (7/3) p¹⁵q¯¹²

Recall:

X¯ⁿ = 1/Xⁿ

Therefore,

(7/3) p¹⁵q¯¹² = (7/3) p¹⁵ × 1/q¹²

(7/3) p¹⁵q¯¹² = 7p¹⁵/ 3q¹²

Hence,

28p⁹q¯⁵ / 12p¯⁶q⁷ = 7p¹⁵/ 3q¹²

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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