Answer:
Hope this helps <3
Step-by-step explanation:
(I color coded them and named them for you so that you wouldn’t have trouble with finding the points <3)
Answer:
102.611111
Step-by-step explanation:
Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10? –10, –12, –14, –16, –18, ... –2, 8, 18, 28, 38, .
Vedmedyk [2.9K]
Answer:
D
Step-by-step explanation:
Given
f(n + 1) = f(n) - 2 with f(1) = 10
To generate the sequence substitute values for n into the recursive formula.
f(1) = 10
f(2) = f(1) - 2 = 10 - 2 = 8
f(3) = f(2) - 2 = 8 - 2 = 6
f(4) = f(3) - 2 = 6 - 2 = 4
f(5) = f(4) - 2 = 4 - 2 = 2
The first 5 terms are 10, 8, 6, 4, 2
Use elimination to create a one variable equation.
x-3y=15 -> 2x-6y=30
2x-6y=30
+(-2x-4y=10)
------------------
-10y=40
Then solve (for y in this case).
y=-4
Now we can use the value for y to solve for x.
x-3y=15 -> x-3(-4)=15 -> x=3
Let the side length of the original square be x, then
1/4 x^2 = (x - 3)^2
x^2 = 4(x^2 - 6x + 9) = 4x^2 - 24x + 36
3x^2 - 24x + 36 = 0
3(x^2 - 8x + 12) = 0
x^2 - 8x + 12 = 0
x^2 - 2x - 6x + 12 = 0
x(x - 2) - 6(x - 2) = 0
(x - 6)(x - 2) = 0
x - 6 = 0 or x - 2 = 0
x = 6 or x = 2
but x cannot be 2 since the side length of the smaller square will be negative.
Therefore, the side length of the original square is 6 inches.
