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kondaur [170]
3 years ago
11

AC = 64, AB = 7x + 8, and BC = 3x + 6, Find BC.

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

21

Step-by-step explanation:

  • AC = 64
  • AB = 7x + 8
  • BC = 3x + 6

<u>Since AC = AB + BC</u>

  • 7x + 8 + 3x + 6 = 64
  • 10x + 14 = 64
  • 10x = 50
  • x = 50/10
  • x = 5

------------------

BC = 3x + 6 = 3*5 + 6 = 21

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3=-\ln\left|\cos\dfrac\pi4\right|+C
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What is a perfect square? Why is <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%208x%20%2B16" id="TexFormula1" title="x^{2}
ivanzaharov [21]

Answer:

It is a perfect square. Explanation below.

Explanation:

Perfect squares are of the form

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

. In polynomials of x, the a-term is always x.(

(

x

+

c

)

2

=

x

2

+

2

c

x

+

c

2

)

x

2

+

8

x

+

16

is the given trinomial. Notice that the first term and the constant are both perfect squares:

x

2

is the square of x and 16 is the square of 4.

So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,

8

x

is of the form

2

c

x

.

The middle term is twice the constant times x, so it is

2

×

4

×

x

=

8

x

.

Okay, we found out that the trinomial is of the form

(

x

+

c

)

2

, where

x

=

x

and

c

=

4

.

Let us rewrite it as

x

2

+

8

x

+

16

=

(

x

+

4

)

2

. Now we can say it is a perfect square, as it is the square of

(

x

+

4

)

.

3 0
2 years ago
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