Answer:
4). (x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
x^2 + y^2 + 4x - 2y - 20 = 0
x^2 + 4x + y^2 - 2y = 20
Completing the square on the x and y terms:
(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20
(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1
(x + 2)^2 + (y - 1)^2 = 25.
The lines are perpendicular.
![\quad \huge \quad \quad \boxed{ \tt \:Answer }](https://tex.z-dn.net/?f=%5Cquad%20%5Chuge%20%5Cquad%20%5Cquad%20%5Cboxed%7B%20%5Ctt%20%5C%3AAnswer%20%7D)
![\qquad \tt \rightarrow \:x = -16](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3Ax%20%3D%20-16%20)
![\qquad \tt \rightarrow \: y =4](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%20y%20%3D4%20%20)
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![\large \tt Solution \: :](https://tex.z-dn.net/?f=%20%5Clarge%20%5Ctt%20Solution%20%20%5C%3A%20%3A%20)
![\qquad \tt \rightarrow \: 27 + yi = 11 - x + 4i](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%2027%20%2B%20yi%20%3D%2011%20-%20x%20%2B%204i)
![\qquad \tt \rightarrow \: yi + x = 11 + 4i - 27](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%20yi%20%2B%20x%20%3D%2011%20%2B%204i%20-%2027)
![\qquad \tt \rightarrow \: x + yi = - 16 + 4i](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%20x%20%2B%20yi%20%3D%20%20-%2016%20%2B%204i)
By equating both equations we get :
![\qquad \tt \rightarrow \: x = - 16](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%20x%20%3D%20%20-%2016)
![\qquad \tt \rightarrow \: y = 4](https://tex.z-dn.net/?f=%5Cqquad%20%5Ctt%20%5Crightarrow%20%5C%3A%20y%20%3D%204)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
A) 65%
b) 68
26:40 as x:100
26/40 = x/100
Cross multiply
2600 = 40x
x = 65
———————
85% of 80
0.85 is the decimal equivalent of 85%
80 x 0.85 = 68
Answer:
1. is 7
Step-by-step explanation: