Answer:
x = 6
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² + (x + 2)² = 10² ← expand parenthesis on left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0
(x + 8)(x - 6) = 0 ← in factored form
equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
however, x > 0 , then x = 6
Answer:
208
Step-by-step explanation:
13 options for colours = 13C1 = 13
AND
2 options for A/C = 2C1 = 2
AND
2 options for transmission = 2C1 = 2
AND
2 options power windows = 2C1 = 2
AND
2 options for CD player = 2C1 = 2
So,
13×2×2×2×2 = 208
Answer:
4b+17
Step-by-step explanation:
3(b+5)+b+2=
3b+15+b+2=
4b+17
