<span>X – 1 + 2x ≤ x + 3
--- ---
2 4=7658</span>
24(1/4)= 6
6(2/3)= 12/3= 4
The answer is 4. Hope this helps!
Let x represent the length of the shorter leg.
Longer leg: 5x +19
Hypotenuse: 5x +20
Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive
The side length of the triangle are 13, 84, 85 feet.
Substitute y = 3x + 15 to the equation -4x + 7y = 20:
-4x + 7(3x + 15) = 20 <em>use distributive property</em>
-4x + (7)(3x) + (7)(15) = 20
-4x + 21x + 105 = 20 <em>subtract 105 from both sides</em>
17x = -85 <em>divide both sides by 17</em>
x = -5
Substitute the value of x to the equation y = 3x + 15:
y = 3(-5) + 15
y = -15 + 15
y = 0
<h3>Answer: x = -5 and y = 0</h3>