Answer:

Step-by-step explanation:
Distance between two points:
Suppose that we have two points,
and
. The distance between them is given by:

Equation of a circle:
The equation of a circle with center
and radius r has the following format:

Center at the origin;
This means that 
So



Passes through (4, 6)
The radius is the distance from this point to the center. So




So

Then


Answer:
The value of given expression is
.
Step-by-step explanation:
Given information: n=7, x=2, p=1/2

The given expression is

It can be written as

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.






Therefore the value of given expression is
.
Answer:
Ray AC and Ray BC
Step-by-step explanation:
The graphed line is y = 3/2x + 3.
In order to solve for this, we need to start by finding the slope. To find the slope, we start by selecting two points on the graph. We'll use (0, 3) and (-2, 0).
m(slope) = (y2 - y1)/(x2 - x1)
m = (3 - 0)/(0 - -2)
m = 3/2
Now that we have this, we can use a point and slope intercept form to find the intercept.
y = mx + b
0 = (3/2)(-2) + b
0 = -3 + b
3 = b
And we can use the slope and intercept to model the equation as y = 3/2x + 3
Answer:
2
Step-by-step explanation:
5% = 0.05
0.05 * 35 = 1.75
So, roughly 2 people voted for it.