Question

1. Find the slope of the line that passes through the points ( - 2, 3 ) and ( 1, -3 )
2. Solve the inequality -3x plus 8< x plus 6. Which of the following is the general term of the sequence 2,8,18,32,50
3 If x-y=12 and y squared =5(x-2) what is the value of x
4. Mguyo is three years older tha Juja, and Keno is half as Juja, the product of Mguyo's age and Keno's age is 119. How old is Juja

Answer 1

Step-by-step explanation:

hope this answer will be helpful

Answer 2

Slope = - 2 ,  x > 1/2  ,  Tₙ = 2 * n²

Step-by-step explanation:

Find the slope of the line that passes through the points ( - 2, 3 ) and ( 1, -3 )

Slope = ( - 3 - 3)/(1 -(-2))

= -6/3

= -2

-3x + 8 < x + 6

=> 2 < 4x

=> x > 1/2

2,8,18,32,50

2 = 2 * 1²

8 = 2 * 2²

18 = 2 * 3²

32 = 2 * 4²

50 = 2 * 5²

Tₙ = 2 * n²

x - y = 12

=> y = x - 12

y² = 5(x - 2)

=> (x - 12)² = 5(x - 2)

=> x² + 144 - 24x = 5x - 10

=>x² - 29x + 154 = 0

=> x² - 22x - 7x + 154 = 0

=> x(x - 22) - 7(x - 22) = 0

=> (x - 7)(x -22) = 0

=> x = 7  , x = 2

   

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