Answer:
82% and 82/100 (or 41/50)
Step-by-step explanation:
multiply 100 times .82 to get the percent
.82 is 82/100
C. 8- 6i
(3- i) to the power of 2 (expand the expression)
9- 6 i + i to the power of 2
calculate
9 - 6i - 1
calculate
8- 6i.
Answer:
![|WX|=|XY|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units\\|WZ|=|YZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units](https://tex.z-dn.net/?f=%7CWX%7C%3D%7CXY%7C%3D%5Csqrt%7B18%7D%20%3D3%5Csqrt%7B2%7D%5C%3AUnits%20%5C%3Aor%5C%3A%204.2%20%5C%3AUnits%5C%5C%7CWZ%7C%3D%7CYZ%7C%3D%5Csqrt%7B34%7D%20%5C%3AUnits%20%5C%3Aor%5C%3A%205.8%20%5C%3AUnits)
Step-by-step explanation:
<u>Theorem: The diagonals of a kite are perpendicular.</u>
Let O be the point of intersection of the diagonals,
Applying Pythagoras Theorem, in right triangle WOX
![|WX|^2=|WO|^2+|OX|^2\\|WX|^2=3^2+3^2=18\\|WX|=\sqrt{18} =3\sqrt{2}\:Units \:or\: 4.2 \:Units](https://tex.z-dn.net/?f=%7CWX%7C%5E2%3D%7CWO%7C%5E2%2B%7COX%7C%5E2%5C%5C%7CWX%7C%5E2%3D3%5E2%2B3%5E2%3D18%5C%5C%7CWX%7C%3D%5Csqrt%7B18%7D%20%3D3%5Csqrt%7B2%7D%5C%3AUnits%20%5C%3Aor%5C%3A%204.2%20%5C%3AUnits)
Applying Pythagoras Theorem, in right triangle WOZ
![|WZ|^2=|WO|^2+|OZ|^2\\|WX|^2=3^2+5^2=34\\|WZ|=\sqrt{34} \:Units \:or\: 5.8 \:Units](https://tex.z-dn.net/?f=%7CWZ%7C%5E2%3D%7CWO%7C%5E2%2B%7COZ%7C%5E2%5C%5C%7CWX%7C%5E2%3D3%5E2%2B5%5E2%3D34%5C%5C%7CWZ%7C%3D%5Csqrt%7B34%7D%20%5C%3AUnits%20%5C%3Aor%5C%3A%205.8%20%5C%3AUnits)
Answer:
Step-by-step explanation:
-4=2x+16
-16. -16
-20=2x
20/2=2x/2
10=x
16x² - 49
= (4x)² - 7²
Identity =》 a² - b² = (a + b) (a - b)
(4x)² - 7²
= (4x + 7) (4x - 7) [3rd option]
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Hope it helps ⚜