Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
Using the mid-point concept, it is found that the coordinates of B are (-2, -1).
- The mid-point of two points is the <u>mean of the coordinates of each point</u>.
In this problem:
- The points are: A(2, -5) and B(x,y).
- The mid-point is (0, -3).
Applying the concept for both the x and y-coordinates, we have that:
![\frac{x + 2}{2} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bx%20%2B%202%7D%7B2%7D%20%3D%200)
![x + 2 = 0](https://tex.z-dn.net/?f=x%20%2B%202%20%3D%200)
![x = -2](https://tex.z-dn.net/?f=x%20%3D%20-2)
![\frac{-5 + y}{2} = -3](https://tex.z-dn.net/?f=%5Cfrac%7B-5%20%2B%20y%7D%7B2%7D%20%3D%20-3)
![-5 + y = -6](https://tex.z-dn.net/?f=-5%20%2B%20y%20%3D%20-6)
![y = -1](https://tex.z-dn.net/?f=y%20%3D%20-1)
The coordinates of B are (-2, -1).
To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693
we are given that
both sides are equal
so, their length must be equal
![HK=\sqrt{(p-1)^2+(5-2)^2}](https://tex.z-dn.net/?f=%20HK%3D%5Csqrt%7B%28p-1%29%5E2%2B%285-2%29%5E2%7D%20%20)
![HK=\sqrt{(p-1)^2+9}](https://tex.z-dn.net/?f=%20HK%3D%5Csqrt%7B%28p-1%29%5E2%2B9%7D%20%20)
now, we can find other side
![JK=\sqrt{(p-7)^2+(5-2)^2}](https://tex.z-dn.net/?f=%20JK%3D%5Csqrt%7B%28p-7%29%5E2%2B%285-2%29%5E2%7D%20%20)
![JK=\sqrt{(p-7)^2+9}](https://tex.z-dn.net/?f=%20JK%3D%5Csqrt%7B%28p-7%29%5E2%2B9%7D%20%20)
now, we can set them equal
![HK=JK](https://tex.z-dn.net/?f=%20HK%3DJK%20%20)
![\sqrt{(p-1)^2+9}=\sqrt{(p-7)^2+9}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28p-1%29%5E2%2B9%7D%3D%5Csqrt%7B%28p-7%29%5E2%2B9%7D%20%20)
now, we can take square both sides
![(p-1)^2+9=(p-7)^2+9](https://tex.z-dn.net/?f=%20%28p-1%29%5E2%2B9%3D%28p-7%29%5E2%2B9%20%20)
now, we can solve for p
![(p-1)^2=(p-7)^2](https://tex.z-dn.net/?f=%20%28p-1%29%5E2%3D%28p-7%29%5E2%20%20)
![p^2-2p+1=p^2-14p+49](https://tex.z-dn.net/?f=%20p%5E2-2p%2B1%3Dp%5E2-14p%2B49%20%20)
![-2p+1=-14p+49](https://tex.z-dn.net/?f=%20-2p%2B1%3D-14p%2B49%20%20)
![12p=48](https://tex.z-dn.net/?f=%2012p%3D48%20%20)
..............Answer
Answer:
-91/18
Step-by-step explanation:
hope this helps!
Answer:
Step-by-step explanation:
C stands for circumference of the circle.