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:
The answer is option 2.
Step-by-step explanation:
First, you have to make the equation into 0, by adding 6x² to both sides :
Next, you have to apply Discriminant formula, D = b² - 4ac. Given that a quadratic equation is ax² + bx + c = 0, so for this equation a represents 6, b is -4 and c is 3 :
A. Mean = 491.125
b. Median = 403.5
c. Mode = there is no mode
Answer: y=3/5x-26/5 is the equation for this problem.
Step-by-step explanation:
Answer:
P=nrt/v
Step-by-step explanation:
To solve for P:
PV=nrt
1.) Divide both sides by V
P/V=nrt/V
which is P=nrt/V
Answer: P=nrt/v
Hope this helps : )