Answer:
20
Step-by-step explanation:
Use the distance equation to find the length of each side:
d = √((x₂ − x₁)² + (y₂ − y₁)²)
where (x₁, y₁) and (x₂, y₂) are the points (the order doesn't matter).
AB:
d = √((-2 − (-2))² + (-2 − 4)²)
d = 6
BC:
d = √((4 − (-2))² + (-2 − (-2))²)
d = 6
AC:
d = √((-2 − 4)² + (4 − (-2))²)
d = 6√2
So the perimeter is:
AB + BC + AC
6 + 6 + 6√2
≈ 20
Answer:
1. <em>L = 3D +59</em>
2. 158 miles
Step-by-step explanation:
For the second part:
Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.
I believe the question is asking for coordinates. The answer would be (0,1)
Answer:
<h2>a) 120 ways</h2><h2>b) 6 unique ways</h2>
Step-by-step explanation:
The question will be solved using the permutation formula since are arranging. <u>Permutation deals with arrangement.</u>
If there we are to arrange n objects taking 'r' at a time, this can be done in nPr ways.

a) If you therefore have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. Since they are in a single file line, This can be done in 6P3 number of ways.

b) The number of unique ways to arrange the letters in the word DEN is 3! ways since there are only 3 letters in the word.
3! = 3*2*1
3! = 6ways
Answer:
<u>2.256 x 10 to the power of 25</u>
Step-by-step explanation:
There are 3.76 x 10 to the power of 22 atoms in 1 gram of oxygen
So, there are x atoms in 600 grams of oxygen
Using the ratio and proportional
So, the number of atoms = 600 * 3.76 x 10 to the power of 22 =

So, the answer in scientific notation as A.BCD x 10 to the power of E
Will be <u>2.256 x 10 to the power of 25</u>