(8 - 3i)(2 - 7i)=
16 x -56i - 6i + 21i^2
16 x -50i - 21
The image point of (4,-2) after the transformations given is; (2,1).
<h3>What is the image point after the transformations?</h3>
It follows from the task content that the point given is (4, -2) which first reflects over the y axis and hence, renders the new image to be; (4, 2) after which it undergoes a dilation of with dilation factor, 1/2 and hence, the image point is; (2,1).
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Answer: ![219.94\ cm^2](https://tex.z-dn.net/?f=219.94%5C%20cm%5E2)
Step-by-step explanation:
Given
The central angle of a sector measures ![175^{\circ}](https://tex.z-dn.net/?f=175%5E%7B%5Ccirc%7D)
The radius of the circle is ![r=12\ cm](https://tex.z-dn.net/?f=r%3D12%5C%20cm)
The area of the sector is given by
![\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2](https://tex.z-dn.net/?f=%5CRightarrow%20A%3D%5Cdfrac%7B%5Ctheta%20%7D%7B360%5E%7B%5Ccirc%7D%7D%5Cpi%20r%5E2)
Insert the values
![\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2](https://tex.z-dn.net/?f=%5CRightarrow%20A%3D%5Cdfrac%7B175%5E%7B%5Ccirc%7D%7D%7B360%5E%7B%5Ccirc%7D%7D%5Ccdot%20%5Cpi%20%5Ctimes%2012%5E2%5C%5C%5C%5C%5CRightarrow%20A%3D219.94%5C%20cm%5E2)
B >= 5,000 because it mentioned "at least" so its equal and more than 5,000
Ans:
11 and four twelfths
Step-by-step explanation: