Answer:
(- 16.7, 5.2 )
Step-by-step explanation:
let the coordinates of the endpoint be (x , y )
using the midpoint formula
consider the x- coordinate
(x + 1.7) = - 7.5 ( multiply both sides by 2 )
x + 1. 7 = - 7.5 ( subtract 1.7 from both sides )
x = - 16.7
consider the y-coordinate
(y - 4.6 ) = 0.3 ( multiply both sides by 2 )
y - 4.6 = 0.6 ( add 4.6 to both sides )
y = 5.2
endpoint = (- 16.7, 5.2 )
Answer:
A)
B)
C) for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be : strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
b ) The initial conditions
The initial conditions are :
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Answer:
Option A, ±
Step-by-step explanation:
<u>Step 1: Add 29 to both sides</u>
<u>Step 2: Square root both sides</u>
±
Answer: Option A, ±
Given:
Prove:
Solution:
Putting the value of equation (ii) into the equation (i):
putting the value x into the equation (i):
Therefore, the value of x= 4
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