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3 years ago

Guys ignore this question I did something wrong just keep scrolling

Mathematics

1 answer:

Alex73 [517]3 years ago

5 0

Answer:

Step-by-step explanation:

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What is the area of this triangle?

ki77a [65]

Answer:

The area of this triangle is.. $30 in^2$

Step-by-step explanation:

6 x 10 divided by 2 = 30

3 0

3 years ago

Read 2 more answers

Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f

GalinKa [24]

Answer:

$\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }$

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

$\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}$

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

$f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240$

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in $\mathbb{R}$ .

$\\f(x)=(x^2+16)(x^2-2x-15)$

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

$f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}$

And we can write in $\mathbb{C}$

$f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

WILL GIVE BRAINLIEST TO BEST RESPONSE!

Monica [59]

You are given the X value, replace x with 2 in the first equation to solve for y:

y=2x +3

y = 2(2) +3

y = 4+3

y = 7

Now replace y with 7 and x iwth 2 in the second equation and solve for k:

y = -x +k

7 = -2 +k

Add 2 to both sides:

9 = k

so k = 9

The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.

K = 9

5 0

4 years ago

Which statement is true for the following graph:

snow_lady [41]

9514 1404 393

Answer:

H the range is all real numbers

Step-by-step explanation:

The arrows on the ends of the curve mean the curve extends to infinity. Then the domain (x-extent) is -3 to infinity.

The range (y-extent) is -infinity to infinity, <em>all real numbers</em>.

The appropriate description is ...

H The range is all real numbers

5 0

3 years ago

In a survey at a local university, 38% of students say that they get less than the recommended eight hours of sleep per night in

Sever21 [200]

Answer:

2790

Step-by-step explanation:

38/100 * 4500 = 1710 get less than eight hours of sleep

4500 - 1710 = 2790 students

3 0

3 years ago