A shape that is similar to another shape will be enlarged by a scale factor.
Each corresponding sides should give the same scale factor
Side GI corresponds to side JL
Side GH corresponds to side JK
Side HI corresponds to side KL
The correspond sides whose length are given is
GH = 4 and JK = 8
Side JK is twice longer than GH
All the other sides of triangle JKL are twice longer than triangle GHI, so we want that the side JL to be twice of the sides GI
Side GI = 6
Side JL = 6 × 2 = 12
Answer: y = 12
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:

Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)

3×4
12
Shades region:
238-12
=226
T=time
when the piano dropped at t=0, its velocity also equals 0
but at t(3)=32(3)=96
the piano is falling at 96fps
The answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Step-by-step explanation:
To simplify
.
Using exponential law the exponents of variables will be added when multiplied as per rule
we get
![\frac{4[(2^4)(x^{3\times 4}) ( y^{4\times4} )] }{2[(2^3)(x^{2\times3} ) (y^{6\times3} )]}\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%282%5E4%29%28x%5E%7B3%5Ctimes%204%7D%29%20%28%20y%5E%7B4%5Ctimes4%7D%20%29%5D%20%7D%7B2%5B%282%5E3%29%28x%5E%7B2%5Ctimes3%7D%20%29%20%28y%5E%7B6%5Ctimes3%7D%20%29%5D%7D%5C%5C)
![\frac{4[(16)(x^{12}) ( y^{16} )] }{2[(8)(x^{6} ) (y^{18} )]}\\\\\frac{64x^{12}y^{16} }{16 x^{6}y^{18} }](https://tex.z-dn.net/?f=%5Cfrac%7B4%5B%2816%29%28x%5E%7B12%7D%29%20%28%20y%5E%7B16%7D%20%29%5D%20%7D%7B2%5B%288%29%28x%5E%7B6%7D%20%29%20%28y%5E%7B18%7D%20%29%5D%7D%5C%5C%5C%5C%5Cfrac%7B64x%5E%7B12%7Dy%5E%7B16%7D%20%20%7D%7B16%20x%5E%7B6%7Dy%5E%7B18%7D%20%20%7D)
Now by dividing according to exponential rule the exponents of variables will be subtracted as per rule

So the answer of 4(2x^3 y^4 )^4/2(2x^2 y^6 )^3 after simplification will be
4 
Keywords: Algebra
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