Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
Assuming you want to find the length of the longest line segment, you would have to first determine where the longest line segment is.
If you can't do this straight away, then it'd be good to draw a diagram as I shown below, to visualise.
From there, you apply pythagora's theorem to the dimensions of the rectangular prism to find the length of the longest line segment.
I have attached the solution in a photo, including some explanation. Hope it helps :)
3/4 - 2*(1/8) = 6/8 -2/8 = 4/8 = 1/2
Matt will have 1/2 cup of sugar left in the bowl.
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4