Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of two semicircles
<u>The area of rectangle is equal to</u>

<u>The area of the small semicircle is equal to</u>

-----> radius is half the diameter
substitute

<u>The area of the larger semicircle is equal to</u>

-----> radius is half the diameter
substitute

The area of the figure is equal to

Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
Answer:
b
Step-by-step explanation:
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Word form-five hundred six thousand,seven hundred nine
Expanded form-500,000+6,000+700+9