Answer:
Step-by-step explanation:
I don’t know why they bother teaching recursive formulas as the explicit is almost always used :)
For 2,9,16,23...
Recursive is a(n+1)=an+7
Explicit is an=2+7(n-1)
(or more neatly an=7n-5)
For 2,14,98,686...
Recursive is a(n+1)=7an
Explicit is an=2(7^(n-1))
(or (2/7)7^n )
When dilation is about the origin, as it is here in every case, the image point coordinates are the original (pre-image) coordinates multiplied by the scale factor.
1. Multiply every coordinate value by 5:
... W' = (-5, 10), X' = (-15, -5), Y' = (25, -5), Z' = (15, 10)
2. Multiply every coordinate value by 1/3:
... A' = (-2, 5), B' = (0, 5/3), C' = (1, 10/3)
3. A' = (2, 8), B' = (6, 2), C' = (2, 2)
4. The image coordinates are 5 times the original coordinates, so ...
... the scale factor of the dilation is 5.
9514 1404 393
Answer:
100.27 ft^2
Step-by-step explanation:
The area of each square is ...
A = s^2 = (6 ft)^2 = 36 ft^2
The area of the 1/4 circle is ...
A = 1/4πr^2 = 1/4π(6 ft)^2 = 9π ft^2 ≈ 28.27 ft^2
__
The area of the garden is the sum of the areas of the quarter circle and the two squares:
A = 28.27 ft^2 + 2×36 ft^2 = 100.27 ft^2
The area of the garden is about 100.27 square feet.
Answer:
C they have equal x-intercepts
Step-by-step explanation:
M< 1 = 128, m< 2 = 26, and m< 3 = 26.
