Answer:
8x + 5
Step-by-step explanation:
5 * (2x+1) = 10x +5
10x + 5 -2x
8x + 5
Density = <u>mass
</u> volume
<u>
</u>mass = 86.8 g volume = 6.2 cm³
<u>
</u>Density =<u> 86.8 g
</u> 6.2 cm³
<u>
</u>Density = 14 g/cm³<u>
</u>
we know that
The coordinates of the point A is
----> see the graph
The coordinates of the point A' is
----> see the graph
so
the rule of the translation is
![(x,y)------> (x-3,y+2)](https://tex.z-dn.net/?f=%28x%2Cy%29------%3E%20%28x-3%2Cy%2B2%29)
<u>Verify for the point B'</u>
point ![B(4,-1)](https://tex.z-dn.net/?f=B%284%2C-1%29)
the coordinates of the point B' are
![B(4,-1)------> B'(4-3,-1+2)](https://tex.z-dn.net/?f=B%284%2C-1%29------%3E%20B%27%284-3%2C-1%2B2%29)
![B(4,-1)------>B'(1,1)](https://tex.z-dn.net/?f=B%284%2C-1%29------%3EB%27%281%2C1%29)
see in the graph
the coordinates of B' are correct
therefore
<u>the answer is the option</u>
T-3.2(x,y)
Answer:
![\frac{729}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B729%7D%7B64%7D)
Step-by-step explanation:
The given expression is
![(\frac{3a^{-3}b^{2} }{2a^{-1} b^{0} } )^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3a%5E%7B-3%7Db%5E%7B2%7D%20%20%7D%7B2a%5E%7B-1%7D%20b%5E%7B0%7D%20%7D%20%29%5E%7B2%7D)
Where
and
.
When we say "evaluate the expression" refers to replacing the given values in the expression. Then, we solve each power in the numerator and denominator. After that, we solve each product in the fraction. At the end, we apply the square power. As follows
![(\frac{3a^{-3}b^{2} }{2a^{-1} b^{0} } )^{2}=(\frac{3(-2)^{-3}(-3)^{2} }{2(-2)^{-1} (-3)^{0} } )^{2}=(\frac{3(\frac{1}{-8})(9)}{2(\frac{1}{-2} (1))} )^{2} =(\frac{-\frac{27}{8} }{-1} )^{2} =\frac{27^{2} }{8^{2} } =\frac{729}{64}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3a%5E%7B-3%7Db%5E%7B2%7D%20%20%7D%7B2a%5E%7B-1%7D%20b%5E%7B0%7D%20%7D%20%29%5E%7B2%7D%3D%28%5Cfrac%7B3%28-2%29%5E%7B-3%7D%28-3%29%5E%7B2%7D%20%20%7D%7B2%28-2%29%5E%7B-1%7D%20%28-3%29%5E%7B0%7D%20%7D%20%29%5E%7B2%7D%3D%28%5Cfrac%7B3%28%5Cfrac%7B1%7D%7B-8%7D%29%289%29%7D%7B2%28%5Cfrac%7B1%7D%7B-2%7D%20%281%29%29%7D%20%29%5E%7B2%7D%20%3D%28%5Cfrac%7B-%5Cfrac%7B27%7D%7B8%7D%20%7D%7B-1%7D%20%29%5E%7B2%7D%20%3D%5Cfrac%7B27%5E%7B2%7D%20%7D%7B8%5E%7B2%7D%20%7D%20%3D%5Cfrac%7B729%7D%7B64%7D)
It is 3 because it is c lol