Step-by-step explanation:
arithmetic sequence.
an = an-1 + c = a1 + (n-1)c
c is in our case 2 (every new shape has 2 more vertices).
we have a a1 = 3.
an = 3 + 2(n-1)
so,
a21 = 3 + 2(20) = 3 + 40 = 43
the 21st shadow will have 43 vertices.
Answer:
0 solutions
Step-by-step explanation:
These system of equations are inconsistent (parallel to each other) which means that there are no solutions to this system.
Answer:
3 sets.
1 7 10
2 7 9
3 7 8.
Step-by-step explanation:
The sum must be 18 ( 3*6) and 7 is the middle number ( the median).
So the first and last numbers must add up to 11 with the first number less than 7. As there is no mode no number can be repeated.
So one set is 3 7 8 (the first number can't be 4 as the last number would have to be 7)
Others are 2 7 9,
1 7 10.
Answer:
≈ 
Step-by-step explanation:
Start with the distance formula:

Pair your values to your variables.

Let's substitute those values into the formula.

Complete the operations in your parentheses.

Square the bases of your powers.

Add.

Find the square root of
:
≈ 
I only provided 4 digits after the decimal point; feel free to round it accordingly.