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2 years ago

14

Find four consecutive integers such that 8 times the sum of the first and the third is 40

1 answer:

jolli1 [7]2 years ago

7 0

The consecutive integers are 9,10,11,12.

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Find the complex zeros of x^3+27. write f in factored form

aliina [53]

$x^3+27=0
\\x^3+3^3=0
\\(x+3)(x^2-3x+9)=0
\\x^2-3x+9=0
\\a=1,b=-3,c=9
\\
\\x_{1,2}= \frac{-b\pm \sqrt{b^2-4ac} }{2a} = \frac{-(-3)\pm \sqrt{(-3)^2-4\times1\times9} }{2\times1} =\frac{3\pm \sqrt{-27} }{2} =\frac{3\pm 3\sqrt{3}i }{2} 
\\
\\(x+3)(x-\frac{3+ 3\sqrt{3}i }{2})(x-\frac{3- 3\sqrt{3}i }{2})=0

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3 years ago

Find the value of x

ad-work [718]

Answer:
18

It’s literally 72 divided by 4 which equals 18

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3 years ago

What is the inverse of y=r? + 8?

Maru [420]

Answer:

F-1(x)=x+8

Step-by-step explanation:

What is the inverse of y=r? + 8?

I hope this help.

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3 years ago

chad had 63 cows on his ranch. 42 of these had tags, What is ratio comparing cows without tags to cows with tags

Montano1993 [528]

Answer:

21/42

Step-by-step explanation:

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3 years ago

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In order to apply the law of sines to find the length of the side of a triangle, it is enough to know which of the following?

larisa86 [58]

Answer:

We must have two angles and a side.

A is the correct option.

Step-by-step explanation:

For any triangle ABC, the law of sine is given by

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

From this formula it is clear that in order to find the length of the side of the triangle, we must have two angles and a side.

Let us understand this by assuming that we need to find a (length of the side). From the formula, we have

$\frac{a}{\sin A}=\frac{b}{\sin B}\\\\a=\frac{b\sin A}{\sin B}$

Thus, to find the length a, we must have b, sin A and sin B.

Hence, o find the length of the side of the triangle, we must have two angles and a side.

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3 years ago

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