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3 years ago

21st term: 3,8,13,18 What is the indicated term

Mathematics

1 answer:

goldenfox [79]3 years ago

7 0

The pattern here is add 5. So if you were to continue adding 5 until you have done it 21 times, you would get 113.

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How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?

ikadub [295]

Answer: 9.75m

Step-by-step explanation:

3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m

8 0

2 years ago

Let alpha and beta be conjugate complex numbers such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}

miskamm [114]

Answer:

$-3+i\sqrt{3} , 1+\sqrt{3}$

Step-by-step explanation:

Given that alpha and beta be conjugate complex numbers

such that frac{\alpha}{\beta^2} is a real number and alpha - \beta| = 2 \sqrt{3}.

Let

$\alpha = x+iy\\\beta = x-iy$

since they are conjugates

$\alpha-\beta = x+iy-(x-iy)\\= 2iy= 2i\sqrt{3} \\y =\sqrt{3}$

$\frac{\alpha}{\beta^2} }\\=\frac{x+i\sqrt{3} }{(x-i\sqrt{3})^2} \\=\frac{x+i\sqrt{3}}{x^2-3-2i\sqrt{3}} \\=\frac{x+i\sqrt{3}((x^2-3+2i\sqrt{3}) }{(x^2-3-2i\sqrt{3)}(x^2-3-2i\sqrt{3})}$

Imaginary part of the above =0

i.e. $\sqrt{3} (x^2-3)+2x\sqrt{3} =0\\x^2+2x-3=0\\(x+3)(x-1) =0\\x=-3,1$

So the value of alpha = $-3+i\sqrt{3} , 1+\sqrt{3}$

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3 years ago

Select all expressions that are equivalent to 6x+1-(3x-1).

klio [65]

Answer:6x+1-3x-1

negative and negative= positive

3x+2

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Step-by-step explanation:

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2 years ago

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Dmitry [639]

Answer:

Reason 2

Step-by-step explanation:

The reason should be transitive property( if a=b and b=c then a=c) not reflective property.

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2 years ago

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Papessa [141]

Answer:

Step-by-step explanation:

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2 years ago