Answer:

Step-by-step explanation:
We can apply Pythagoras' Theorem.

Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the measures of the 3 sides.
Sum the sides and equate to 75, that is
2x - 9 + 3x + 4 + 2x + 3 = 75, that is
7x - 2 = 75 ( add 2 to both sides )
7x = 77 ( divide both sides by 7 )
x = 11
Thus
AB = 2x - 9 = 2(11) - 9 = 22 - 9 = 13 m
BC = 3x + 4 = 3(11) + 4 = 33 + 4 = 37 m
AC = 2x + 3 = 2(11) + 3 = 22 + 3 = 25 m
-22 - x = 5 + 6x + 9 Combine like terms (5 and 9)
-22 - x = 14 + 6x Subtract 6x from both sides
-22 - 7x = 14 Add 22 to both sides
-7x = 36 Divide both sides by -7
x = 5
Answer:

Step-by-step explanation:
x² = 19x + 12
⇔ x² - 19x - 12 = 0
Calculating the discriminant :
b² - 4ac = (-19)² - 4×1×(-12) = 409
The discriminant is positive ,then the equation has two solutions.
