Answer:
6 units
Step-by-step explanation:
Given:
To find the distance between two points, we need to use the distance formula:
Plug in what you know:
Simplify:
Evaluate the exponents.
Add.
Evaluate the square root.
The distance between the two points is 6 units.
Learn with another example:
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Answer:
<u>9 straps for $10.25</u>
Step-by-step explanation:
<u>Price rate</u>
- 9 straps for $10.25 = 10.25/9 = $1.14 per strap
- 30 straps for $66 = 66/30 = $2.20 per strap
<u>Better buy</u>
- <u>9 straps for $10.25</u>
- Less cost per strap
- better buy
Answer:
h(x) ≤ 5
Step-by-step explanation:
The function and boundaries given are;
h(x) = x + 2, x < 3
And ;
h(x) = -x + 8, x ≥ 3
Now,in the first condition, the maximum value of x will be 2. This means the maximum value of h(x) there is;
h(2) = 2 + 2 = 4
For the second condition, x ≥ 3. Thus, the maximum value of x is 3.
This means that the maximum value of h(x) here is;
h(3) = -3 + 8 = 5
Foe the 2 conditions combined it is clear that the maximum value of h(x) is 5.
Thus,we can say; h(x) ≤ 5
<u>N 2 3 N N 5 4 N N 1 </u><u> </u><u>next </u><u>to the statements that should not be used.</u>
What is sequence and example?
- A sequence is an ordered list of numbers . The three dots mean to continue forward in the pattern established.
- Each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, …, 1 is the first term, 3 is the second term, 5 is the third term, and so on.
sequence
- The statement is true for n = 0 because 0 is divisible by 3.
- Now suppose we have proved the statement for some n element of N This means that 4^n -1 = 3k for some integer k..
- We now consider the quantity 4^n+1 -1 = 4 . 4^n - 1 = 3 . 4^n + 4^n - 1
- We use the inductive hypothesis to simplify that equation to 4^n+1 - 1 = 3 . 4^n + 3k = 3 (4^n + k).
- We have thus shown that 4^n+ 1- 1 is a multiple of 3.
Learn more about sequence
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Answer:
station A
Step-by-step explanation:
Given data
We are told that she has $85 and she wants to fill only her tank
station A
charges $2.67 per gallon
12 gallons will cost
=12*2.67
=$32.04
station B
charges $2.60 per gallon
12 gallons will cost
=12*2.60
=$31.2
station C
charges $2.62 per gallon
12 gallons will cost
=12*2.62
=$31.44
The cheapest is station A
