Answer:
1) Move the "non X" term to the right:
2x^2+16x-8=0 becomes
2x^2 +16x = +8
2) Divide the equation by the coefficient of X² which in this case is 2
x^2 + 8x = 4
3) Now here's the "completing the square" stage in which we:
• take the coefficient of X (which is 8)
• divide it by 2 [8 / 2 = 4]
• square that number [4^2 = 16]
• then add it to both sides of the equation.
x^2 + 8x + 16 = 20
Take the square root of both sides of the equation:
x + 4 = sq root (20)
x = sq root (20) -4
x1 = 4.472135955 -4
x1 = .472135955
x2 = -4.472135955 -4
x2 = -8.472135955
Source: https://www.1728.org/quadr2.htm
Step-by-step explanation:
Answer: 33
Step-by-step explanation:
We know that Jacob is 5 and 1/2 tall. He caused a 8 foot shadow, and we know that the flagpole causes a 48 foot shadow. 48/8 equal 6, meaning we need to multiply his height by that. 5 1/2 time 6 is 33
Answer:
The answer to this equation is 7.5
Step-by-step explanation:
What I did is started with PEMDAS:
6÷2 (1 + 2) ÷4 (4 + 5) ÷ 6
^ ^
(3) (9)
Now the 3 and the 9 are what are in the ()
6÷2 = 3... 3 (3) = 9.
9 ÷ 4 = 5.
The 9 from earlier is still in parenthesis...
Take 5 and the 9 in parenthesis and multiply (If a single number is in (), It means to multiply anyway)
5 (9) = 45
The Final Step is to divide by 6
45 ÷ 6 = (FINAL) 7.5
<em>I hope this helped! (:</em>
Answer:
Step-by-step explanation:
A geometric series is one where each term is multiplied by a constant value known as r to get the next term
Sum of n terms of a geometric series is
Sum of infinite series is obtained as the limiting value of this sum when n tends to infinity
We find that only when |r|<1, r power n tends to 0 as n tends to infinity.
Other r power n diverges.
Hence geometric series infinite sum formula is valid only when
|r|<1 since the series sum converges to a finite value