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FrozenT [24]
3 years ago
12

Thanks for the help!

Mathematics
1 answer:
leva [86]3 years ago
3 0
I hope this helps you

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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
Molodets [167]
<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

4 0
2 years ago
The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?
Virty [35]

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

8 0
3 years ago
Help ASAP I need to get this question correct
strojnjashka [21]

Answer: The answer is NO

Step-by-step explanation:

8 0
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Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet.
Ivahew [28]
The answer is 360 -15 times -24 equals 360
5 0
3 years ago
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I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Savatey [412]

Answer:

f(x) = g(x-9)

Step-by-step explanation:

8 0
3 years ago
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