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Alborosie
2 years ago
15

add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s

quare - 4c​
Mathematics
1 answer:
Molodets [167]2 years ago
4 0
<h2>Perfect Squares</h2>

Perfect square formula/rules:

  • a^2+2ab+b^2=(a+b)^2
  • a^2-2ab+b^2=(a-b)^2

Trinomials are often organized like ax^2+bx+c.

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

  • Perfect square trinomial: ax^2+bx+(\dfrac{b}{2})^2
  • or ax^2-bx+(\dfrac{b}{2})^2

<h2>Solving the Question</h2>

We're given:

  • c^2-4c

In a trinomial, we're given the ax^2 and bx values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

  • 4 ÷ 2 = 2
  • 2² = 4

Therefore, the term that we can add is + 4.

c^2-4c+4

To write this as the square of a bracketed expression, we can follow the rule a^2-2ab+b^2=(a-b)^2:

(c-2)^2

<h2>Answer</h2>

c^2-4c+4

(c-2)^2

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Answer:

∠y = 62.5°

∠x  =  27.5°

Step-by-step explanation:

z is right angle. ∠z = 90°

∠x = ∠y - 35

∠x + ∠y + ∠z = 180      {Angle sum property of triangle}

y - 35 + y + 90 = 180

y + y - 35 + 90 = 180 {Combine like terms}

  2y  + 55 = 180

          2y = 180 -55      {Subtract 55 from both sides}

          2y = 125         {Divide both sides by 2}

            y = 125 /2

∠y = 62.5°

∠x = 62.5 - 35 = 27.5°

6 0
2 years ago
A company has an opportunity to bid on three contracts. Determine which would be the best investment given the information in th
MariettaO [177]

CONTRACT  PROFIT, (P)* OF PROFIT...(P)*. TO BREAK EVEN...LOSS, (P)* OF LOSS

Southeast $45,000,            50%                       30%                           $6,000, 20%

Southwest $60,000,            35%                      40%                          $10,000, 25%

California $112,000,           20%                       40%                          $40,000, 40%


I think that the best contract would be with SOUTHEAST. It probability of having a profit is higher than the other two at 50% while its probability of incurring a loss is lesser than the other two at 20%. 

Despite the bigger value of its contract profit of the other two, these value will still be greatly affected by its corresponding probabilities.  

6 0
3 years ago
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250 divided by _ =25
Greeley [361]

Answer:

10

Step-by-step explanation:

To solve this you would do 250 divided by 25 because that solves for the unknown. This gets you 10. So, 250/10 is equal to 25

Hope this helps!

7 0
3 years ago
All ir rational numbers are rational numbers
patriot [66]

Answer:

no

Step-by-step explanation:

false

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8 0
3 years ago
Hope someone help.me​
zvonat [6]

x = r sin θ cos Ф

x² = r² sin² θ cos² Ф

y = r sin θ sin Ф

y² = r² sin² θ sin² Ф

z = r cos θ

z² = r² cos²  θ

x² + y² + z²

= r² sin² θ cos² Ф  +  r² sin² θ sin² Ф +  r² cos²  θ

= r² sin² θ (cos² Ф + sin² Ф) +  r² cos²  θ

= r² sin² θ + r² cos²  θ

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= r²       √

7 0
3 years ago
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