Answer:
3
Step-by-step explanation:
20-9=11
11-8=3
3 is the final answer
Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
Answer:
hey there hope this answer helps you out
Step-by-step explanation:
we have two functions f(x) and g(x) such that
and
solving for f ° g, we'll substitute the x in f(x) by the value of g(x)
taking x common in denominator
for a function to exist it should not have 0 in its denominator
checking the values of x for which the denominator of f ° g becomes 0 :-
so the function doesn't exist at values x = 0, -6
<h3>So, <u>0, -6</u> cannot be in the domain of f°g</h3>
The first and last term factor into (2x+7) since this is a perfect square trinomial the answer must be 28
