What we know:
Circle A has a center at (2,0) and a radius of 8
Circle A' has a center at (-1,5) and a radius of 3
What we need to find:
we need to find the transformation from the center point of A to A' and the scale factor
Circle A can be mapped to Circle A'
center point translation (x,y)⇒[(x+a),(y+b)]⇒(x-3, y+5)
2+a=-1 0+b=5
-2+2+a=-1-2 b=5
a=-3
scale factor is 3/8
8x=3
8/8x=3/8
x=3/8
<span>A)(x, y) → (x - 3, y + 5); scale factor 3/8 </span>
Subtract 6 from both sides, you get 1/3x=-14
Now multiply both sides by there, hence x=-42
Answer = 92,610
If the factor increases output by 5% yearly than the end output will be 92,610
Answer:
<u>a₂₀ = 60</u>
Step-by-step explanation:
<u>Given :-</u>
a₃ = 9
a₈ = 24
<u>To find :-</u>
a₂₀
<u>Solving :-</u>
Expand the given values.
a + 2d = 9 -(1)
a + 7d = 24 -(2)
Now subtract (1) from (2).
=> 5d = 15
=> d = 3
a = 9 - 2d
a = 9 - 6
a = 3
<u>Final answer :-</u>
a₂₀
= a + 19d
= 3 + 19(3)
= 3+ 57
= 60
<u>a₂₀ = 60</u>
