Answer:
P(A n B) = 5
Step-by-step explanation:
From the venn diagram given, we can see that;
P(A) = 25
P(B) = 15
P(A n B) = 5
Thus,the correct answer of P(A n B) which is the intersection between A and B is 5
Answer:

Step-by-step explanation:
The equation of any line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

Two points are given: (-6,4) and (-2,2). Calculating the slope:

The equation of the line is, so far:

To calculate the value of b, we use any of the given points, for example (-6,4):


Solving:
b = 1
The equation of the line is:

We can see none of the choices is correct.
Answer:
2
Step-by-step explanation:
See explanation on other question
Answer: (C)2x + 8Y = 16


(0,2)

(8,0)
<span>Check the chart for a better understanding:
</span>
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.