Answer:
The numbers are 
and 
The graph in the attached figure
Step-by-step explanation:
we know that
To find the first number, adds 6 units to the number 2 and to find the second number subtract 6 units from the number 2
Let
x-----> the first number
y-----> the second number
we have
using a graphing tool
see the attached figure
The sum of their ages equals 80.
Gabrielle is 3 times older than Mikhail
Two numbers that have a sum of 80, with one number being 3 times the other are:
Gabrielle’s age: 60
Mikhail’s age: 20
60 + 20 = 80
20 x 3 = 60
Mikhail is 20 years old.
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Answer:
Step-by-step explanation:
Hence,
The radius of the circle is 4 units, coordinates of its centre are (4,-2).
