( A u B) would be the combination of both sets.
Since both sets have all distinct numbers, just add the 2 sets together.
4 + 7 = 11
There are 11 elements.
Five out of 35 (27+5) students wear a fun Pi-Shirt.
Construct a ratio:
5 (people with a fun t-shirt on) 59 (people with a fun t-shirt on)
________________________ =
32 (number of people in one class) x (number of students in the school)
The correct answer is D.
Answer:
units.
Therefore, Option C is correct.
Step-by-step explanation:
We have given a pentagon ABCDE
We need to calculate its length
That means we have to find the distance of AD
So, coordinates of A(1,6) and D(4,-2)
Using distance formula:

Here,
On substituting the values we will get:

On simplification:


.
Hence, the length of AD is
units.
Therefore, Option C is correct.
Basically your negatives beside each other turn into a positive because two negatives equals a positive
Answer:
13a² - 39a + 46
Step-by-step explanation:
To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.
g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22
3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24
Combine the values to find g(a-2)+3g(2a).
g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46