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3 years ago

I need help asap please ‼️‼️‼️

Mathematics

2 answers:

Naya [18.7K]3 years ago

6 0

2*pi=R would equal 62pi. Circumference is 194.8

andrey2020 [161]3 years ago

5 0

Answer: your answer is C=194.68m

Step-by-step explanation:

the formula to circumference is 2 x pi x r(radius).

so C=2 x 3.14 x 31m so therefor C=194.68 rounded to the nearest hundredth is the same thing :)

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Please Help ASAP!!!!!!

Bumek [7]

Answer: 6

The sides are equal.

Thus

$3x-6=x+2\\2x=8\\x=4$

$JP=x+2=4+2=\boxed{6}$

4 0

3 years ago

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What is 15+cj to the 3rd power when c=6 and j=5

exis [7]

1)( 15+cj)^3 for j = 5 and c = , ( 15+6*5)^3 = (45)^3 = 91125

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4 years ago

Find the 2th term of the expansion of (a-b)^4.

vladimir1956 [14]

The second term of the expansion is $-4a^3b$ .

Solution:

Given expression:

$(a-b)^4$

To find the second term of the expansion.

$(a-b)^4$

Using Binomial theorem,

$(a+b)^{n}=\sum_{i=0}^{n}\left(\begin{array}{l}n \\i\end{array}\right) a^{(n-i)} b^{i}$

Here, a = a and b = –b

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

Substitute i = 0, we get

$$\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}=1 \cdot \frac{4 !}{0 !(4-0) !} a^{4}=a^4$

Substitute i = 1, we get

$$\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}=\frac{4 !}{3!} a^{3}(-b)=-4 a^{3} b$

Substitute i = 2, we get

$$\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}=\frac{12}{2 !} a^{2}(-b)^{2}=6 a^{2} b^{2}$

Substitute i = 3, we get

$$\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}=\frac{4}{1 !} a(-b)^{3}=-4 a b^{3}$

Substitute i = 4, we get

$$\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}=1 \cdot \frac{(-b)^{4}}{(4-4) !}=b^{4}$

Therefore,

$$(a-b)^4=\sum_{i=0}^{4}\left(\begin{array}{l}4 \\i\end{array}\right) a^{(4-i)}(-b)^{i}$

$=\frac{4 !}{0 !(4-0) !} a^{4}(-b)^{0}+\frac{4 !}{1 !(4-1) !} a^{3}(-b)^{1}+\frac{4 !}{2 !(4-2) !} a^{2}(-b)^{2}+\frac{4 !}{3 !(4-3) !} a^{1}(-b)^{3}+\frac{4 !}{4 !(4-4) !} a^{0}(-b)^{4}$ $=a^{4}-4 a^{3} b+6 a^{2} b^{2}-4 a b^{3}+b^{4}$

Hence the second term of the expansion is $-4a^3b$ .

3 0

3 years ago

How do you write: One third of the opposite of a number is less than 12?

Romashka [77]

-1/3n = -12 is the way you write it

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3 years ago

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Ulleksa [173]

Answer:

The slope of this line will be y=-3/4x+3

Step-by-step explanation:

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3 years ago