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3 years ago

A _ __ is a positive angle whose vertex is at the center of a circle

Mathematics

1 answer:

IRINA_888 [86]3 years ago

5 0

*Central angle* would be the word you’re looking for.

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Find all the zeros of the equation x^4-6x^2-7x-6=0

rusak2 [61]

Answer:

The zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Step-by-step explanation:

We have been given the equation x^4-6x^2-7x-6=0

Use rational root theorem, we have

$a_0=6,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:3,\:6,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:3,\:6}{1}$

$-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2$

$=\left(x+2\right)\frac{x^4-6x^2-7x-6}{x+2}\\$

$=x^3-2x^2-2x-3$

Again factor using the rational root test, we get

$=\left(x+2\right)\left(x-3\right)\left(x^2+x+1\right)$

Using the zero product rule, we have

$x+2=0:\quad x=-2\\x-3=0:\quad x=3\\x^2+x+1=0\\\\x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\\\=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

Therefore, the zeros are

$x=-2,\:x=3,\:x=-\frac{1}{2}+i\frac{\sqrt{3}}{2},\:x=-\frac{1}{2}-i\frac{\sqrt{3}}{2}$

4 0

3 years ago

Read 2 more answers

You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer

leva [86]

Answer:

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer

3 0

2 years ago

A boy named Tyler is paid $25 a day plus $0.25 cents for every newspaper he delivered. After his first day of work, he was paid

DerKrebs [107]

Step-by-step explanation:

equation:

25 + .25x = 225

solution:

.25x = 200

x = 800 newspapers

8 0

3 years ago

A tanget is ____ to the radius that shares the point of tengency

Mazyrski [523]

I believe it is C hope it helps

8 0

3 years ago

2x - 5y = 5 and y = x + 2

Dafna1 [17]

Answer:7

Step-by-step explanation:

8 0

3 years ago

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A _____ ______ is a positive angle whose vertex is at the center of a circle

A _ __ is a positive angle whose vertex is at the center of a circle