Answer:
Solving the equation 
for variable n we get 
Step-by-step explanation:
We need to solve the equation for variable n
Solving:
Subtract both sides by 6p
Switch sides of equality
Divide both sides by 3
So, solving the equation for variable n we get
90 points where at least two of the circles intersect.
<h3>Define circle.</h3>
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.
Given,
Four distinct circles are drawn in a plane.
Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.
As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.
The total number of intersections can be expressed as the sum because the maximum number of intersections of 10 circles must occur when each circle contacts every other circle in 2 places each.
2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 90.
90 points where at least two of the circles intersect.
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Answer:
$3600
Step-by-step explanation:
hope that helps
Answer:
Step-by-step explanation:
Part A:
We have two equations in the given question:
y=8x and y=2x+2
Then these two equations will intersect at a point where y is same fro both the equations:
In equation y=8x we will exchange y with the other equation which is y=2x+2 then we would have 8x=2x+2..
Part B:
8x = 2x + 2. Take the integer values of x between −3 and 3
x= -3
8(-3)=2(-3)+2
-24=-6+2
-24= -4
It is false
Now plug x= -2
8(-2)=2(-2)+2
-16 = -4+2
-16 = -2
This is false
Now plug x= -1
8(-1)=2(-1)+2
-8 = -2+2
-8=0
It is false
Now plug x= 0
8(0)=2(0)+2
0=0+2
0=2
It is false
Now plug x= 1
8(1)=2(1)+2
8=2+2
8=4
False
Now plug x= 2
8(2)=2(2)+2
16=4+2
16=6
False
Now plug x=3
8(3)=2(3)+2
24=6+2
24=8
It is false
It means there is no solution to 8x=2x+2 for the integers values of x between −3 and 3
Part C:
Plot the two given functions on a coordinate plane and identifying the point of intersection(values of the variables which satisfy both equations at a particular point) of the two graphs.
The graph is attached. The point of intersection at x =0.333 and value of y = 2.667....
1 a 2 a 3 d or c because 9times 2 =18 or 6times3=18
