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3 years ago

What is the answer for: -4j - 1 - 4j + 6

Mathematics

1 answer:

diamong [38]3 years ago

3 0

-4j-1-4j+6

-1 and 6 are like terms.

-4j-4j+5

-8j+5

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What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

2 years ago

Instructions

VladimirAG [237]

Where is the picture?

5 0

3 years ago

Please hurry! If you don't know it, that's okay.

makvit [3.9K]

Answer:

The answer is (x,y)=(-10,-7)

Step-by-step explanation:

The solution comes from replace x= -10 into the equation of y=2/5 x -3.
Replacement of x= -10 into y = 2/5 x -3 results: $y=\frac{2}{5}\times{(-10)}-3=2\times{(-2)} -3=-4-3=-7$ .

7 0

3 years ago

what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box

Marizza181 [45]

The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.

<h3>What is the volume of a cone?</h3>

The volume of the cone is given by;

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height$

The volume of a cone with a diameter of 30 feet and a height of 60 feet.

The radius of the cone is;

$\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15$

Substitute all the values in the formula

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130$

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.

Learn more about the volume of cone here;

brainly.com/question/3013784

#SPJ2

5 0

2 years ago

Read 2 more answers

The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:

Sunny_sXe [5.5K]

Answer:

It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.

Step-by-step explanation:

Distance changes over the first hour of travel, but then doesn't change for one hour, and then it continues on for the next three hours

3 0

3 years ago