Answer:
B' = (-4, -4)
Step-by-step explanation:
<u>Dilation</u>: A type of transformation that makes the pre-image larger or smaller without changing its shape.
<u>Center of a dilation</u>: a fixed point about which all points are dilated.
Given:
- A = (1, 2)
- B = (-1, -1)
- C = (0, -2)
- Scale factor = 4
For dilation when the <u>center of dilation</u> is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)
Answer:
Graph attached.
Step-by-step explanation:
y > 
x + 3
When x = 0 , y = 3
When y = 0 , x = -4.5
Graphing the two points (0, 3) and (-4.5, 0) gives the graph attached below:
The shaded part is the wanted region.
<u>Answer:</u>
19.5 x 29.25 inches
<u>Step-by-step explanation:</u>
We are given that the top of the table, which we are to build in our factory must of the the dimension 50 cm x 75 cm.
Also, out machine is calibrated in inches. So to find the size of the table in the inches, we need to multiply the given dimensions of the table top with the scale (1 cm = 0.39 inches)
50 cm ---> 50 x 0.39 = 19.5 inches
75 cm ---> 78 x 0.39 = 29.25 inches
Therefore, the dimensions of the table in inches are 19.5 x 29.25 inches.
If you do 50 times 4 it’s easier to find 500 times 400 because all you have to do it add 3 more zeros behind 200 making the answer be 200,000.
