The zero product property tells us that if we have
xy=0, then we can assume that x and y both equal 0
so
(4k+5)(k+7)=0
we can assume that 4k+5=0 and k+7=0
so
4k+5=0
minus 5 both sides
4k=-5
divide both sides by 4
k=-5/4
k+7=0
minus 7 both sides
k=-7
k=-5/4 or -7
F(x) = 2x^2 - 4x - 3
g(x) = 2x^2 - 16
f(x) + g(x)
2x^2 - 4x - 3 + 2x^2 - 16
4x^2 - 4x - 19
Answer:

Step-by-step explanation:
<u>Given:</u>
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
<em>And,</em>
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
<u>To Find</u>:
The Area of Shaded region
<u>Solution:</u>
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

Put their values accordingly:

<u>Simplify it.</u>
<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>


Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

I hope this helps!