Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
16 can be expressed as a difference of two prime numbers in two ways, which
is:23 - 7 = 16, 19 - 3 = 16
Among the choices, 16 is expressed as (23 - 7), which is the difference of two prime numbers.
Answer: 
Step-by-step explanation:
For this exercise you have to remember the Product of powers property, which states that:
Let be "x" the height in inches of a stack of 
pennies.
You know that the thickness of 1 pennie is 
, then, you can write the following proportion:
Solve for "x":
To express this height in Scientific notation the decimal point must be after the first digit, so you must move it one place to the left:
We have:
The line l is passing through point (0, 0). Substitute the coordinates of the point to the equation of a line l:
<h2>Answer: 5x + 4y = 0</h2>
I think the answer is substitution property of equality because you are substituting 9 for y as y=9.
