Answer:
A pine is any conifer in the genus pinus of the family Pinaceae.Pinus is the sole genus in the sub-Family Pinoideae
The graph and the equation show the same
Answer:
New image will have (2,1) , (-2,0) and (-2,-2) as new vertex.
Below is the graph.
Step-by-step explanation:
Given the triangle with points (4,7) , (-8,4) and (-8,-2) having dilation center at (1,-2) .
We have to dilate using a factor of 1/3 and graph the new image.
Let us find all the three points,
Formula,
New point = [old point - dilation center]* scale factor + dilation center
So,
For (4,7)
![[(4,7)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%284%2C7%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[3,9]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B3%2C9%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[1,3]+(1,-2)= (2,1)](https://tex.z-dn.net/?f=%5B1%2C3%5D%2B%281%2C-2%29%3D%20%282%2C1%29)
For (-8,4)
![[(-8,4)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%28-8%2C4%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[-9,6]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B-9%2C6%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[-3,2]+(1,-2)= (-2,0)](https://tex.z-dn.net/?f=%5B-3%2C2%5D%2B%281%2C-2%29%3D%20%28-2%2C0%29)
For (-8,-2)
![[(-8,-2)- (1,-2)]*\frac{1}{3} + (1,-2)](https://tex.z-dn.net/?f=%5B%28-8%2C-2%29-%20%281%2C-2%29%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%20%281%2C-2%29)
![[-9,0]*\frac{1}{3} +(1,-2)](https://tex.z-dn.net/?f=%5B-9%2C0%5D%2A%5Cfrac%7B1%7D%7B3%7D%20%2B%281%2C-2%29)
![[-3,0]+(1,-2)= (-2,-2)](https://tex.z-dn.net/?f=%5B-3%2C0%5D%2B%281%2C-2%29%3D%20%28-2%2C-2%29)
Therefore these (2,1) , (-2,0) and (-2,-2) are the new vertices after dilation.
Answer: C. is the right answer.
Step-by-step explanation:
Given: The cost of a chessboard at Odyssey Gifts is $6.
The function F(x) = 6x gives the cost of x chessboards.
Since x is the number of chessboards, thus the domain of the function should be the set of whole numbers.
Therefore, Domain= {0,1,2,3,4,5,....................}
when we put the values for x from the domain in the function we get values multiples to 6.
therefore range of the function={0,6,12,18,24,30,......}
Hence, C is the right option.
Answer:
Step-by-step explanation:
(9 - 7)/(4 + 2) = 2/6 = 1/3 is the slope of the line
