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Lerok [7]
3 years ago
11

A polygon has vertices A(1,1), B(1, 4), C(4, 4). This figure is dilated by a factor of 3 and center of dilation (-1, 4). Find th

e coordinates of the polygon after dilation.
Mathematics
1 answer:
Art [367]3 years ago
5 0

Answer:

Step-by-step explanation:

New coordinate = [old coordinate - dilation center]* scale factor + dilation center

So,

For A(1,1)

[(1,1)-(-1,4)]*3+(-1,4)\\(2,-3)*3+(-1,4)\\(6,-9)+(-1,4)\\(5,-5)

For B(1,4)

[(1,4)-(-1,4)]*3+(-1,4)\\(2,0)*3+(-1,4)\\(6,0)+(-1,4)\\(5,4)

For C(4,4)

[(4,4)-(-1,4)]*3+(-1,4)\\(5,0)*3+(-1,4)\\(15,0)+(-1,4)\\(14,0)

Therefore these (5,-5) , (5,4) and (14,0) are the new coordinates of polygon after dilation.

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The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
tester [92]

Answer:

Total number of coffee pot = 16 pots

Step-by-step explanation:

Given:

Time taken for drying all coffee pot = 10 minutes

Total time taken for cleaning and drying coffee pot = 82  minutes

Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes

Find:

Total number of coffee pot

Computation:

Total time taken for cleaning = Total time taken for cleaning and drying coffee pot  - Time taken for drying all coffee pot

Total time taken for cleaning = 82 - 10

Total time taken for cleaning = 72 minutes

Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot

Total number of coffee pot = 72 / 4.5

Total number of coffee pot = 16 pots

8 0
3 years ago
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x
KiRa [710]

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

y=-2x+4

3 0
3 years ago
Pepper has 7.5 bags to clear 12 yd squared to distribute evenly among the beds . About how many bags will she need to use for ea
nalin [4]

Answer:

5/8 bags

Step-by-step explanation:

Pepper ha 7.5 bags

These bags are needed to clear 12 yards squared equally

Therefore the number of bags required for each square yard can be calculated as follows

= 7.5/12

= 0.625

0.625 to fraction is 5/8

Hence 5/8 bags is needed for each square yard

3 0
2 years ago
3x + x - 13 + 4x =12
GREYUIT [131]
 <span>3x + x - 13 + 4 - 6x =12  

Combine like terms....

- 2x - 9 =12 

Add 9  to both sides....

-2x = 21

Divide both sides by -2 to get x by its self....

x = -21/2</span>
4 0
3 years ago
Read 2 more answers
A bicyclist travels at a constant rate of 11miles in 1/4hour. Find the unit rate of the hikers in miles per hour
MissTica
11 miles in 1/4 hour
1/4 of an hour is 15 minutes
so 11 in 15 minutes
x /60 = 11/15
cross multiply
x*15 = 60 * 11
15x = 660
divide both sides by 15
x = 44

the unit rate of the hikers in miles per hour is 44 mph.

You can also solve like this
1/4 of hour is 15 minutes
to get to the whole hour you would multiply by four
so you'd (11miles in 1/4 hour) * 4
44 miles in 1 hour

Hope this helps :)
7 0
3 years ago
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