Hi! Sorry if this is wrong, but I believe it would be f(x)= |x+5|-4. This is because it shifts to the left, so it is adding 5 to the x in the absolute value bars. And it shifting 4 units down would be negative. Hope this helps!
Area of shaded area= area of large rectangle-area of small rectangle
=(2x+a)(2x)-x(x+b)
=4x^2+2xa-x^2-bx
=3x^2+2xa-bx
=3x^2+2x-4x
=3x^2-2x+0
The number is 5. Steps shown below
They are 6, 8, 10, 12 years old.
all of those added is 36 and two-year intervals translates to 2 years apart per cousin.
Answer:



Step-by-step explanation:
From inspection of the given diagram:
<h3><u>Part (a)</u></h3>
A right angle is 90° and is represented by the ∟ symbol.
To find x, <u>equal</u> the sum of the angles to 90° and solve for x:








<h3><u>Part (b)</u></h3>
To find the degree measure of each angle, substitute the found value of x into the expression for each angle.

