Answer:
Step-by-step explanation:
a).
= 
= 
=
[Since, i =
]
b).
= 
= 
= 5 ± 2i [Since, i =
]
c).
= 
= 
= 
=
[Since, i =
]
Answer:
Given a line and a point not on it, no lines parallel to the given line can be drawn through the point. you get an elliptic geometry.
Step-by-step explanation:
In order the numbers are 20, 29, 32, 37, 42.
So that means the median is 32. In order for the median to stay the same one of the three data values must be 32 as well as adding a number to each side of the ends. One 32 or less another 32or more.
The mean right now is: 20+29+32+37+42=160 and there are 5 values.
Mean: 160/5=32
For it to increase by 10 it has to be 42.
extra 3 numbers I used were 31, 32, & 113 (those are your answer)
Answer:
y=4
Step-by-step explanation:
4y + 3 =19
4y = 16
y= 4
Answer:
The answer is (C)
The equation of the circle is (x + 4)² + (y - 6)² = 81
Step-by-step explanation:
* To find the equation of the circle you need to know
the center of the circle and the length of its radius
* The rule of the equation of the circle is:
(x - h)² + (y - k)² = r²
Where x and y is a general point on the circle,
h and k are the coordinates of the center of the circle
and r is the radius of the circle
∵ The center of the circle is (-4 , 6)
∵ The radius of the circle is 9
∴ (x - -4)² + (y - 6)² = 9²
∴ ( x + 4)² + (y - 6)² = 81
∴ The answer is (C)