Answer:
midpoint = (-2.5 , - 10)
Step-by-step explanation:
midpoint =( ((x1 + x2)/2) , ((y1+y2)/2)) )
= ( ((-2 + -3)/2) ,(( -8 + -10)/2) )
= ( -2.5 , -10)
4-2=2
6*2=12
2+12=14
14 is the answer
7,000 and 7 hope this helped
Answer:
<em>The Graph is shown below</em>
Step-by-step explanation:
<u>The Graph of a Function</u>
Given the function:
![\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%28x%29%3D-%5Cfrac%7B3%7D%7B2%7D%28x-2%29%5E2)
It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:
![\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%28-2%29%3D-%5Cfrac%7B3%7D%7B2%7D%28-2-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%28-4%29%5E2%3D%3D-%5Cfrac%7B3%7D%7B2%7D%2A16%3D-24)
Point (-2,-24)
![\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%280%29%3D-%5Cfrac%7B3%7D%7B2%7D%280-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%28-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%2A4%3D-6)
Point (0,-6)
![\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%282%29%3D-%5Cfrac%7B3%7D%7B2%7D%282-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%280%29%5E2%3D0)
Point (2,0)
![\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%284%29%3D-%5Cfrac%7B3%7D%7B2%7D%284-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%282%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%2A4%3D-6)
Point (4,-6)
![\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3Dg%286%29%3D-%5Cfrac%7B3%7D%7B2%7D%286-2%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%284%29%5E2%3D-%5Cfrac%7B3%7D%7B2%7D%2A16%3D-24)
Point (6,-24)
The graph is shown in the image below
Answer
66597 g
divide by 1000
66.597 kg