If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
3x - y = 11 → (1)
- 2x - 4y = - 26 → (2)
Multiplying (1) by - 4 and adding to (2) will eliminate the y- term
- 12x + 4y = - 44 → (3)
Add (2) and (3) term by term to eliminate y
- 14x + 0 = - 70
- 14x = - 70 ( divide both sides by - 14 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
3(5) - y = 11
15 - y = 11 ( subtract 15 from both sides )
- y = - 4 ( multiply both sides by - 1 )
y = 4
solution is (5, 4 )
Answer:
14%
Step-by-step explanation:
Answer:
42 plants
Step-by-step explanation:
Dimensions are missing.
Suppose a right triangle has a base of length 7yards and a height of 24 yards.
As you know, Area of triangle can be determined by
Area of triangle 'A'= 1/2 x b x h = 1/2 x 7 x 24
A= 84 yards²
Now she wants 2 plants for each square yard of area
therefore, if the area is 84 yards²:
number of plants are 84/2=> 42 plants
Thus, She wants 42 plants in the garden
Answer:
Ratios of money made by Jackie and Liana = 
Step-by-step explanation:
We have given,
On selling a lemonade :
Money made by Jackie = $24
Money made by Liana = $36
We need to find the ratios of money made by Jackie and Liana by selling lemonade.
So, Ratio = Money made by Jackie / Money made by Liana
or , Ratio = 
or, Ratio =
So, the ratios of money made by Jackie and Liana is
