Answer:
![84 {x}^{12} \:](https://tex.z-dn.net/?f=84%20%7Bx%7D%5E%7B12%7D%20%20%5C%3A%20)
Option C
Step-by-step explanation:
![(4x)( - 3 {x}^{8} )( - 7 {x}^{3} )](https://tex.z-dn.net/?f=%284x%29%28%20-%203%20%7Bx%7D%5E%7B8%7D%20%29%28%20-%207%20%7Bx%7D%5E%7B3%7D%20%29)
![(4x)(21 {x}^{8 + 3} )](https://tex.z-dn.net/?f=%284x%29%2821%20%7Bx%7D%5E%7B8%20%2B%203%7D%20%29)
![84 {x}^{1 + 11}](https://tex.z-dn.net/?f=84%20%7Bx%7D%5E%7B1%20%2B%2011%7D%20)
![84 {x}^{12}](https://tex.z-dn.net/?f=84%20%7Bx%7D%5E%7B12%7D%20)
Answer:
225 cm²
Step-by-step explanation:
The ratio of areas is the square of the scale factor.
area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²
Answer:
A. ![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,
![\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B8%7D%5Ccdot%20m%3D-1%5C%5C%20%5C%5Cm%3D-%5Cdfrac%7B8%7D%7B7%7D)
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
![2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}](https://tex.z-dn.net/?f=2%3D-%5Cdfrac%7B8%7D%7B7%7D%5Ccdot%20%28-4%29%2Bb%5C%5C%20%5C%5Cb%3D2-%5Cdfrac%7B32%7D%7B7%7D%3D-%5Cdfrac%7B18%7D%7B7%7D)
Therefore, the equation of the line is
![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)