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2 years ago

The present year is 2014. Which year comes AFTER THE NEXT 3 years?

Mathematics

2 answers:

Anarel [89]2 years ago

7 0

Answer:

2017 Pls mark me as a brainliest I really need it

FinnZ [79.3K]2 years ago

3 0

The answer to this question is 2017

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What’s the slope of the line?

yulyashka [42]

Answer:

the slope is 1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Consider 8x2 - 48x = -104.

ki77a [65]

Answer:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

Step-by-step explanation:

<u>Quadratic Equation Solving</u>

We have the equation:

$8x^2-48x=-104$

Divide by 8:

$x^2-6x=-13$

Now complete the squares so the left side is a perfect square of a binomial:

$x^2-6x+9=-13+9=-4$

Factoring the perfect square:

$(x-3)^2=-4$

Taking the square root:

$x-3=\sqrt{-4}$

The square root of a negative number is an imaginary number:

$x-3=\pm 2\mathbf{i}$

Solving for x:

$x=3\pm 2\mathbf{i}$

The solutions are:

$3+ 2\mathbf{i}$

$3- 2\mathbf{i}$

7 0

2 years ago

For the given polynomials find the sum of the squares of the roots. P(x)=x^3-x^2-18x+k

slega [8]

$\text{Given that,}\\\\P(x) = x^3 -x^2 -18x+k\\\\\text{If the roots are}~ \alpha, ~ \beta,~\text{and}~ \gamma, ~ \text{then},\\\\\alpha +\beta+\gamma= -\dfrac{(-1)}1 = 1\\\\\alpha \beta +\beta \gamma + \gamma \alpha= -\dfrac{18}1 = -18\\ \\\text{Now, sum of the squares of the roots,}\\\\\alpha^2 + \beta^2 + \gamma^2 = ( \alpha + \beta + \gamma)^2 -2(\alpha \beta + \gamma \beta + \gamma \alpha)\\ \\~~~~~~~~~~~~~~~~~~=1^2 - 2(-18)\\\\~~~~~~~~~~~~~~~~~~=1+36\\\\~~~~~~~~~~~~~~~~~~=37$