Answer:
Step-by-step explanation:
<h3>AP given</h3>
<h3>To find</h3>
<h3>Solution</h3>
Common difference
<u>Difference of first two</u>
- d = (a -b) - (a + b) = -2b
<u>Difference of second two</u>
<u>Difference of last two</u>
<u>Now comparing d:</u>
- -2b = ab - (a - b)
- ab - a = - 3b
- a(1 - b) = 3b
- a = 3b/(1 - b)
and
- a/b - ab = -2b
- a(1/b - b) = -2b
- a = 2b²/(b² - 1)
<u>Eliminating a:</u>
- 2b²/(b² - 1) = 3b/(1 - b)
- 2b/(b+1) = -3
- 2b = -3b - 3
- 5b = - 3
- b = -3/5
<u>Finding a:</u>
- a = 3b/(1 - b) =
- 3*(-3/5) *1/(1 - (-3/5)) =
- -9/5*5/8 =
- -9/8
<u>So the first term is:</u>
- a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40
<u>Common difference:</u>
<u>The 6th term:</u>
- a₆ = a₁ + 5d =
- -69/40 + 5*6/5 =
- -69/40 + 240/40 =
- 171/40 = 4 11/40
Answer:
Age of Mel is 25 years.
Step-by-step explanation:
It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.
Let 'x' be the Ali's age and 'y' be the Mel's age
<u>To find the value of x and y</u>
sum of Ali and Mel's age is 39
⇒ x + y = 39 ------(1)
Mel is 3 years younger than twice Ali's age
⇒ y = 2x - 3 -------(2)
⇒ 2x - y = 3 -----(3)
(1) + (3) ⇒
x + y = 39
2x - y = 3
----------------
3x = 42
x = 42/3 = 14
y = 2x - 3 = 14*2 - 3 = 25
Therefore the age of Ali = 14
Age of Mel = 25
21 would be the answer hope this helps :)
Greetings :)
To find slope of two points we will need to use this equation: 
( 6 , -12 ) ( 15 , -3 )
Now let's replace the equation with the numbers. (it will be a fraction).
= 
The equation equals 9 over 9, which also equals 1.
The slope of the line is 1.
