9514 1404 393
Answer:
True
Step-by-step explanation:
It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.
True, the sum is an arithmetic series.
Answer: x=2 and y=−6
Step-by-step explanation: 2x+y=−2, 5x+3y=−8
2x+y=−2
2x+y+−2x=−2+−2x
y=−2x−2
5x+3y=−8
5x+3(−2x−2)=−8
−x−6+6=−8+6
−x=−2
−x
/−1
=
−2
/−1
x=2
y=−2x−2
y=(−2)(2)−2
y=−6
x=2 and y=−6
Answer:
8x+19=9x+9
Step-by-step explanation:
Simplifying
(8x + 19) = (9x + 9)
Reorder the terms:
(19 + 8x) = (9x + 9)
Remove parenthesis around (19 + 8x)
19 + 8x = (9x + 9)
Reorder the terms:
19 + 8x = (9 + 9x)
Remove parenthesis around (9 + 9x)
19 + 8x = 9 + 9x
Solving
19 + 8x = 9 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
19 + 8x + -9x = 9 + 9x + -9x
Combine like terms: 8x + -9x = -1x
19 + -1x = 9 + 9x + -9x
Combine like terms: 9x + -9x = 0
19 + -1x = 9 + 0
19 + -1x = 9
Add '-19' to each side of the equation.
19 + -19 + -1x = 9 + -19
Combine like terms: 19 + -19 = 0
0 + -1x = 9 + -19
-1x = 9 + -19
Combine like terms: 9 + -19 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10
Step-by-step explanation:
Given that:-

is exactly divisible by

and

We need to simply, place the value of x.



Now,





Now, to find b.





is the answer.
Now, we need




is the answer.
Hope it helps :D
Answer:
700
Step-by-step explanation:
V=a2h
3=102·21
3=700