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3 years ago

What's is one sixth of a right angle

Mathematics

1 answer:

nata0808 [166]3 years ago

8 0

One sixth of a right angle (90 degrees) would be 15 degrees.

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x

Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

$f(x) = (x - (7 + i)) (x - (5 - i))$

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

$f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))$

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

$f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48$

5 0

2 years ago

Find two positive consecutive odd integers such that square of the smaller integer is 10 more than the larger integer

Otrada [13]

Let $2n+1$ be the smaller integer. The larger integer is then $2n+3$ , and we have

$(2n+1)^2=10+(2n+3)\implies4n^2+4n+1=2n+13$

$\implies4n^2+2n-12=0$

$\implies2n^2+n-6=0$

$\implies(2n-3)(n+2)=0$

$\implies 2n-3=0\text{ or }n+2=0$

$\implies n=\dfrac32\text{ or }n=-2$

We omit $n=-2$ , since $2(-2)+1=-3$ is negative.

Then for $n=\dfrac32$ we find $2\left(\dfrac32\right)+1=4$ , but this is not odd.

There are no consecutive odd integers that satisfy the given condition!

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3 years ago

Based on a study, a theme park has reported that typical patrons were willing to pay

Damm [24]

Answer:

A and D

Step-by-step explanation:

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3 years ago

Quiero saber como se resuelve este problema ? 6+2-a3

Andreyy89

Answer: 8-a^3
You just simply the expression.

6 0

3 years ago

Read 2 more answers

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper

Blababa [14]

5 questions each 4 choices guess 3 out of 5 correctly?

5*4=20 20/3=6.67 , My guess is that the outcome of you probably getting 3 / 5 correct is a 79.9 percent chance.

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3 years ago