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klio [65]
3 years ago
6

Find the product (3a4+4)2​

Mathematics
2 answers:
geniusboy [140]3 years ago
5 0

Answer:

The product is 9a^<u>8</u>+24a^4+16

Step-by-step explanation:

Since we have given that (<em>3a^4+4)^2</em>

As we know that (a+b)^2=a^2+2ab+b^2

So, it becomes, (3a^4 + 4)^2=(3a^4)^2+2\times 3a^4\times 4+(4)^2\\\\=9a^8+24a^4+16

Hence, the product is <em>9a^8+24a^4+16</em>

asambeis [7]3 years ago
4 0

The result is

9

a

2

−

16

The reason is the following:

The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:

(

a

+

b

)

⋅

(

a

−

b

)

=

a

2

−

b

2

.

By applying this to our question, we obtain that:

(

3

a

−

4

)

⋅

(

3

a

+

4

)

=

(

3

a

)

2

−

(

4

)

2

=

9

a

2

−

16

.

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An n-sided polygon has two of its exterior angles measuring 30° and 42°.The remaining exterior angles all measure 16° each. Find
finlep [7]

Answer:

n = 20.

Step-by-step explanation:

The external angles of a polygon add up to 360 degrees. So:

30 + 42 + 16(n - 2)   = 360   where n is the number of sides of the polygon.

16n + 30 + 42 - 32 = 360

16n  + 40 = 360

16n = 320

n = 20.

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Simora [160]

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

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Find the determinant of the following matrix. A =<br>-2 6<br>3 5​
Blababa [14]

Answer:

|A| = - 28

Step-by-step explanation:

Given

A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]

Required

Determine the determinant

For a two by two matrix, A such that:

A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]

The determinant |A| is:

|A| = a * d - b * c

So, in

A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right]

The determinant is:

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|A| = - 28

6 0
3 years ago
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