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:
he cable car's elevation will be 750 feet after 15 minutes
Step-by-step explanation:
Given:
elevation, e =2,000 feet
rate, I = 50 feet/minute
The equation that models the car's elevation, e, after t minutes is e = |t
The cable car's elevation will be 750 feet after how many minutes?
since, e = It
for 2,000 feet = 50 feet/minute * t
t = 2000/50 =40minutes
using the same constant rate, I for 750ft, T =
since, e = It
for 750 feet = 50 feet/minute * t
t = 750/50 =15minutes
Rate or velocity is always distance divided by time
369 km / 3 sec =
123 kilometers per second
Let's translate the words into expressions:
11 less than 7 times a number is 
5 more than 6 times the number is 
So we have the equation
Subtract 6x from both sides:
Add 11 to both sides:
Answer:
43.3 cupcakes
Step-by-step explanation:
If shamans has 3&1/3 cups of flour to make cupcakes. If she needs 1/13 cup of flour to make one cupcake how many full cupcakes can she make
From the above question
1/ 13 cup = 1 cup cake
3 1/3 cups = x
Cross Multiply
1 /13 × X = 3 1/3 × 1
x = 10/3 ÷ 1 /13
x = 10/3 × 13/1
x = 130/3
x = 43.333333333 cupcakes
