Answer:
x = 5
Step-by-step explanation:
The difference between consecutive terms will be equal , then
a₂ - a₁ = a₃ - a₂ , that is
x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides
x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides
- 2x + 11 = x - 4 ( subtract x from both sides )
- 3x + 11 = - 4 ( subtract 11 from both sides )
- 3x = - 15 ( divide both sides by - 3 )
x = 5
The length of hypotenuse is 39.
Step-by-step explanation:
Given,
Vertical side = a = 15
Horizontal side = b = 36
Hypotenuse = c
Using pythagorean theorem

Taking square root on both sides

The length of hypotenuse is 39.
Keywords: square root, addition
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Answer:
Step-by-step explanation:
y = -3x - 3
m = -3_______
b = -3________
y = 2x + 2
m = 2_______
b = _2_______
SOLVE NOW : -3x - 3 = 2x + 2
- 5x = 5
x = -1
subst in y : y = 2(-1)+2 = 0
the solution is : ( - 1 , 0 )
y = -3x- 3 an equation for the line 'red'
y = 2x+2 an equation for the line 'bleus'