Here you go
Let me know if it is right
-In a right triangle, a hypotenuse is the longest side of the triangle
-In a right triangle, a hypotenuse is the side opposite a right angle
As you need to translate to the left this is an horizontal translation so you have to replace f(x) by f(x-h) and when h is less than 0 the graph shifts left, it mean h is negative. So for this problem g(x)= Ι2(x--5)Ι then g(x) = Ι2(x+5)Ι
Simplifying
3x + 3y = -3
Solving
3x + 3y = -3
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3y' to each side of the equation.
3x + 3y + -3y = -3 + -3y
Combine like terms: 3y + -3y = 0
3x + 0 = -3 + -3y
3x = -3 + -3y
Divide each side by '3'.
x = -1 + -1y
Simplifying
x = -1 + -1y
We know that
see the picture to better understand the problem
in the right triangle ABC
Applying the Pythagoras Theorem
AB²=BC²+AC²-------> BC²=AB²-AC²
AB=8 ft
AC=4 ft
BC²=8²-4²-----> BC²=48--------> BC=√48-------> BC=6.93 ft
the answer is6.93 ft