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GaryK [48]
3 years ago
13

Is c^2 - 6c +9 a perfect square?

Mathematics
2 answers:
katrin [286]3 years ago
6 0

Answer:(c-3)(c-3) yes

Step-by-step explanation:

C²-6c-9

(c²-3c-)(3c+9)

c(c-3)-3(c-3)

(c-3)(c-3)

Anni [7]3 years ago
3 0

Step-by-step explanation:

{c}^{2}  - 6c + 9 \\  =  {c}^{2}  - 2 \times 3 \times c +  {3}^{2}  \\  = (c - 3)^{2}  \\

Therefore, c^2 - 6c +9 is a perfect square.

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PLZ HELP ASAP WILL MARK BRAINLIEST
RSB [31]

Answer:

72\sqrt{3}

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \sqrt{3}

tan60° = \frac{opposite}{adjacent} = \frac{opp}{6} = \sqrt{3} ( multiply both sides by 6 )

opp = 6\sqrt{3} , then

d₂ = 2 × 6\sqrt{3} = 12\sqrt{3}

Thus

A = \frac{1}{2} × 12 × 12\sqrt{3} = 6 × 12\sqrt{3} = 72\sqrt{3}

3 0
3 years ago
Which line of music shows a reflection?​
ra1l [238]
Is there a picture to this?
7 0
4 years ago
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $j fare
Ipatiy [6.2K]

Total  friends = 3

fare = $ J

She also paid $5 tip

So there is J amount of money splitted into 3 friends.

That means you divide J/3 .

After Angela also  pays additional tip of $5.

That means you also add 5.

So the expression for how much Angela pay in total is: J/3 + 5

3 0
3 years ago
Approximate the real number solution(s) to the polynomial function f(x) = x3 + 2x2 − 5x − 6.
nadya68 [22]
F(1) = (1)^3 + 2(1)^2 - 5(1) - 6 = 1 + 2 - 5 - 6 = -8; x = 1 is not a solution to the polynomial.
f(-1) = (-1)^3 + 2(-1)^2 - 5(-1) - 6 = -1 + 2 + 5 - 6 = 0; x = -1 is a solution to polynomial.
From the options, a or c has x = -1, both has x = , so lets check for x = 3
f(3) = (3)^3 + 2(3)^2 - 5(3) - 6 = 27 + 18 - 15 - 6 = 24; x = 3 is not a solution to the polynomial.
Therefore the solutions to the polynomial are x = -3, x = -1, x = 2
6 0
3 years ago
2x + 2x + 2 = 4x + 2<br> Do this equation has one solution,many solutions,or no solutions?
Slav-nsk [51]

Step-by-step explanation:

2x + 2x + 2 = 4x + 2           <em>combine like terms</em>

4x + 2 = 4x + 2          <em>subtract 4x from both sides</em>

4x - 4x + 2 = 4x - 4x + 2

2 = 2   TRUE

<h2>CONCLUSION:</h2><h3>This equation has an infinitely many solutions. The solution to this equation is any real number.</h3>
3 0
3 years ago
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