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IRINA_888 [86]
2 years ago
6

Topic 1: Translate The sum of twice a number and 9 is -25."

Mathematics
2 answers:
Vinvika [58]2 years ago
7 0

Answer:

2n + 9 = - 25

Step-by-step explanation:

let the number be n then twice the number is 2n

The sum of 2n and 9 is 2n + 9

the result is - 25 , that is

2n + 9 = - 25

Olenka [21]2 years ago
3 0

Answer:

<h2><u><em>x=-17</em></u></h2>

Step-by-step explanation:

The sum of twice a number and 9 is -25."

2x + 9 = -25

2x = -34

x = -17

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

check

2 * (-17) + 9 = -25

-25 = -25

the answer is good

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What is the fourth term in the binomial expansion (a+b)^6)
Dafna11 [192]

Answer:

20a^3b^3

Step-by-step explanation:

<u>Binomial Series</u>

(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example:  4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3

\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3

\implies \dfrac{6!}{3!3!}a^{3}b^3

\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3

\implies \left(\dfrac{120}{6}\right)a^{3}b^3

\implies 20a^3b^3

7 0
2 years ago
I need help bbbbbbbb​
Sav [38]
Answer: 180cm


Explanation:

The area of a triangle is 1/2(b)(h).
The height of the triangles is 12cm and the base is 6cm.

1/2(6)(12) = 36cm
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For square: 6 • 6 = 36cm


144cm + 36cm = 180cm
8 0
3 years ago
What is the total surface area of the prism? *<br> 5.2 in<br> 3 in<br> 9.7 in<br> Your answer
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Answer:

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Step-by-step explanation:

Sides= 31.2

Front and back= 58.2

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Add them together= 100.88+58.2+31.2

4 0
3 years ago
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vredina [299]
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4 0
3 years ago
Given the ratio of 6 feet:72 inches, how many inches are equivalent to 3 feet
irina1246 [14]

Answer:

36 inches

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6 feet equals 72 inches. 6 divided by 2 is 3 so you do 72 divided by 2. 72 divided by 2 is 36 inches.

Hope this helps :)

7 0
3 years ago
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