Answer:
P₀ = 206 and difference d = 6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the arithmetic sequence
206,212,218,224,.....
P₀ = 206 and difference d = 212-206 = 6
The 
term of the sequence
<u><em>Step(ii):-</em></u>
The term of the sequence
Put n=20
Answer:
4. Vertical angles theorem
6. 3x + 4 =49
Step-by-step explanation:
Answer: 10, 11, & 12
<u>Step-by-step explanation:</u>
Let x represent the age of the youngest child.
Their ages are consecutive so,
Youngest: x
Middle: x + 1
Oldest: x + 2
The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.
x² = 8(x + 2) + 4
x² = 8x + 16 + 4
x² = 8x + 20
x² - 8x - 20 = 0
(x - 10)(x + 2) = 0
x - 10 = 0 or x + 2 = 0
x = 10 or x = -2
Since age cannot be negative, x = -2 is not valid
So, the Youngest (x) is 10
the Middle (x + 1) is 11
and the Oldest (x + 2) is 12
Answer:
False
Step-by-step explanation:
To solve this problem, plug in the value for Y, 9, into the inequality.
9 + 3 < 12
Now, solve the inequality. Evaluating 9 + 3, the equation becomes:
12 < 12
12 is not less than 12 (12 = 12), therefore the answer is false.
Answer:
-1 / 13
Step-by-step explanation:
(x 1,y1) = (-10,5)
(x2, y2) = (3,4)
y2 - y1 / x2 - x1
