Answer:
60 units
Step-by-step explanation:
Ratio of the perimeter = ratio of sides
Sides are in the ratio:
6 : 24
1 : 4
Perimeter of the first triangle:
4+5+6 = 15
Perimeter of the second triangle:
4(15) = 60
Answer:
Q(-2,-7)
See attachment
Step-by-step explanation:
We need to form a simultaneous equation and solve.
The point P has coordinates (1,8). Let the other point Q also have coordinate (x,y).
Then the average rate of change is the slope of the secant line connecting P(1,8) and Q(x,y) and this has a value of 5.
![\implies \frac{8-y}{1-x}=5](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7B8-y%7D%7B1-x%7D%3D5)
![\implies 8-y=5(1-x)](https://tex.z-dn.net/?f=%5Cimplies%208-y%3D5%281-x%29)
![\implies y=5x-3...(1)](https://tex.z-dn.net/?f=%5Cimplies%20y%3D5x-3...%281%29)
This point Q also lies on the given parabola whose equation is ![y=-(x-2)^2+9...(2)](https://tex.z-dn.net/?f=y%3D-%28x-2%29%5E2%2B9...%282%29)
Put equation (1) into (2) to get:
![5x+3=-(x-2)^2+9](https://tex.z-dn.net/?f=5x%2B3%3D-%28x-2%29%5E2%2B9)
![5x+3=-(x^2-4x+4)+9](https://tex.z-dn.net/?f=5x%2B3%3D-%28x%5E2-4x%2B4%29%2B9)
![5x+3=-x^2+4x-4+9](https://tex.z-dn.net/?f=5x%2B3%3D-x%5E2%2B4x-4%2B9)
![5x+3=-x^2+4x+5](https://tex.z-dn.net/?f=5x%2B3%3D-x%5E2%2B4x%2B5)
![x^2+x-2=0](https://tex.z-dn.net/?f=x%5E2%2Bx-2%3D0)
![(x-1)(x+2)=0](https://tex.z-dn.net/?f=%28x-1%29%28x%2B2%29%3D0)
![x=1,x=-2](https://tex.z-dn.net/?f=x%3D1%2Cx%3D-2)
When x=-2, y=5(-2)-3=-7
Therefore the required point is Q(-2,-7)
Input a value for x and get a value for y
y=2x-4
x=3
y=2(3)-4
y=6-4
y=2
ycoordinate=2
coordinate=(3,2)
Answer: 8.8
Step-by-step explanation: 27.632 divided by 3.14 = 8.8
THIS PROBABLY WRONG BUT HOPE THIS HELPS :D
8.romb
Step-by-step explanation:
thats all I know