Answer:
not arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Given
= 2n² - 1
Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence
= 2(1)² - 1 = 2 - 1 = 1
= 2(2)² - 1 = 8 - 1 = 7
= 2(3)² - 1 = 18 - 1 = 17
= 2(4)² - 1 = 32 - 1 = 31
check the difference between consecutive terms
7 - 1 = 6
17 - 7 = 10
31 - 17 = 14
The differences are not common hence not an arithmetic sequence
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The vertex B is at (1, 5), then vertex B' is at (-2, 11).
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
The vertex A is at (-1, 2), then vertex A' is at,
A' = (-1-3, 2+6) = (-4, 8)
The vertex B is at (1, 5), then vertex B' is at,
B' = (1-3, 5+6) = (-2, 11)
Learn more about Triangle:
brainly.com/question/2773823
#SPJ1
Answer:
{0,1,3,4}
Step-by-step explanation:
Given, total no of slices=8.
Total no of friends=4.
also each friend didnt ate more than the other three.
let a,b,c,d be no of slices ate by the friends 1,2,3,4 respectively.
given sum of a+b+c+d=8.
now applying the second condition

so each of a,b,c,d must be less than or equal to 4.
which means 5 values are possible{0,1,2,3,4}.from this set you have to select 4 values such that their sum is 8.hence, those values are {0,1,3,4}.
Answer: x=3
Step-by-step explanation: First we do distributive property in the parentheses. Next we subtract both sides by 6. Lastly we divide both sides by 3. Algebraic Rules!!!
Work:
3(x+2)=15
3x+6=15
3x+6-6=15-6
3x=9
3x/3=9/3
x=3
Answer:
6. Actual length is 8 mm.
7. 13
8. 4
9. x=12
10. y=4
11. a=-3
12. y=-5
Step-by-step explanation: