Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
Answer:
(320 ÷ 50) × 100
Step-by-step explanation:
if you divide 320 by 50, you get what a single percent of the original price would be. So to get the original price, you just need 100 of the singular percentages, which you can get by taking a singular percentage (320 ÷ 50) and multipoint it by 100
Answer:
The answer here would be 1/6.
Step-by-step explanation:
If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.
This one works the same way the last one did.
If -8 is x-2, then x = -6. The corresponding point is (-6, -5).