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Iteru [2.4K]
4 years ago
14

Solve by completing the square? Could you please work it out step-by-step?

Mathematics
1 answer:
DaniilM [7]4 years ago
4 0
16 n^2 -10n + 129 = 8n^2 -8

We collect the terms:
8n^2 -10n + 137 = 0

The steps for completing the square:

1) Move the "non X" (or "non N") term to the right:

8n^2 -10n  = -137

<span>2)<span> Divide the equation by the coefficient of N² which in this case is 8
n^2 -1.2n = </span></span><span><span>-17.125 </span>

3) Take the coefficient of "N"; divide it by 2; square it; add it to both sides of the equation.
-1.2 / 2 = -.6
-.6^2 = .36

</span>
n^2 -1.2n +.36 = <span>-17.125 +.36

Take the square root of both sides:</span>
(n-.6)*(n-.6) = sq root( <span> <span> <span> -16.765 </span> </span> </span> )
That's about as far as I can go.

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The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each
mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

  • This means that we can algebraically solve the equation n + 3n + 3 + 2n + 11 = 50

Step 1: Combine like terms.

  • (n+3n+2n) + (3+11) = 50
  • 6n + 14 = 50

Step 2: Subtract 14 from both sides.

  • 6n + 14 - 14 = 50 - 14
  • 6n = 36

Step 3: Divide both sides by 6.

  • 6n/6 = 36/6
  • n = 6

Step 4: Plug in the value of n as 6 in each side.

  • (6) + (3(6) + 3) + (2(6)+11) = 50
  • (6) + (18+3) + (12+11) = 50
  • (6) + (21) + (23) = 50  

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
3 years ago
√(5-b)^8
ahrayia [7]

Answer:

  (5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625

Step-by-step explanation:

The applicable rules of exponents are ...

  √a = a^(1/2)

  (a^b)^c = a^(bc)

__

You have √((5-b)^8) = ((5 -b)^8)^(1/2)

  = (5 -b)^(8/2) = (5 -b)^4

Sometimes, "simplify" means "remove parentheses".

  (5 -b)^4 = b^4 -20b^3 +150b^2 -500b +625

4 0
3 years ago
Dmitri buys 23 pound of mixed nuts, 12 pound of chocolate
timofeeve [1]

Answer:

c. 13.20

Step-by-step explanation:

5 0
3 years ago
Need help ASAP I’ll gladly appreciate it <br><br> Last answer choice is
xz_007 [3.2K]
The answer is A because SAS is the side, angle, side method and you already know that two sides are congruent so you need to know if the at last one angle is.
3 0
3 years ago
In triangle ABC, angle C is the right angle. Which statement is always true? A. Sin(A)=cos(A)
Dafna1 [17]

Given this, we know:
A+B+90° = 180°
Therefore:
90°-A = B and 90°-B = A
We also know:
sin(A) = a/c
<span>cos(B) = a/c</span>

therefore,
Sin (A)=Cos (B)

3 0
3 years ago
Read 2 more answers
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