Each is 7 long and the whole piece is 56 so we can make 8 down the length and each is 1 wide and the whole things is 3 so that makes 3 across. we multiply these to get 8*3= 24
The height of the ball initially is 54 inches. The common ratio has been provided which is 0.750.
The explicit formular for the geometric sequence is shown as;
The explicit formula is shown as;
54 x (0.750)^9
The rest is simply to solve for the height on the 10th bounce
Answer:
H: (2, 14)
O: (4,15)
U: (6,14)
S: (2,10)
E: (6,10)
Step-by-step explanation:
the image on the grid is after doin x- 1 and y-7
to get the preimage do the inverse , x + 1 , y + 7
note- a coordinate is written as (x,y)
so, add 1 to all the x's and 7 to all the y's on the coordinates on the grid!
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So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
