Can somebody please help with this question

Answer:

x = 1 ± 2i

Step-by-step explanation:

x² - 2x + 5 = 0 ( add 5 to both sides )

x² - 2x = - 5

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 5 + 1

(x - 1)² = - 4 ( take square root of both sides )

x - 1 = ± [tex]\sqrt{-4}[/tex] = ± 2i ( add 1 to both sides )

x = 1 ± 2i ( that is the solutions are complex )

Answer:

[tex]x=1\pm2i[/tex]

or

[tex]x=1+2i[/tex]

[tex]x=1-2i[/tex]

Step-by-step explanation:

All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula: [tex]x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Quadratic formula gives two solutions, one when ± is addition add one when it is subtraction.

[tex]x^2-2x+5=0[/tex]

Equation is in standard form: [tex]ax^2+bx+c=0[/tex]

Substitute 1 from a, [tex]-2[/tex] for b, and [tex]5[/tex] for C in the quadratic formula, [tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\times \:1\times \:5}}{2}[/tex]

Multiply -4 × 5:

[tex]x=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:5}}{2}[/tex]

Add 4 + -20:

[tex]x=\frac{-\left(-2\right)\pm \:4i}{2}[/tex]

* the opposite of -2 is 2:

[tex]x=\frac{2\pm 4i}{2}[/tex]

Now, solve equation:

[tex]x=\frac{2+4i}{2}[/tex]

Divide 2 + 4i by 2:

[tex]x=1-2i[/tex]

_____________________________

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.

Answer:

2/3

Step-by-step explanation:

Find a two coordinates on the line such as (20,40) and (50,60)

plug it into the slope formula m= y2 - y1 / x2- x1

it doesn't matter what way you plug them in

m = slope

m = 60-40 / 50 - 20 = 20/30 = 2/3

The slope is 2/3 I simplified 20/30 by dividing by 10

hope this helped

Answer:

y=x^2+2x-15

Step-by-step explanation:

x=-3 or x=5

(x-3)(x+5)

x^2+5x-3x-15

x^2+2x-15

Answer:

186

Step-by-step explanation:

Answer:

215/2

Step-by-step explanation:

A linear pair means that the angles equal 180 degrees.

If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.

x+47+x-12=180

2x-35=180

2x=215

x=215/2

Answer:

Your answer is C. Angle a is congruent to both angles 3 and 1.

Step-by-step explanation:

26.60  if not

so sorry im also very small brain like u

Answer:

[tex]1 and -1[/tex]

Step-by-step explanation:

Answer:

DA?

Step-by-step explanation:

I'm not the brightest I'm sorry but i think it might be D A something..

Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]

Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.

The intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.

Learn more about the basic proportionality theorem at

https://brainly.com/question/24312914

#SPJ2

Answer:

(I've never done this before and I highly doubt I'm doing this right so forgive me for any wrong answer which might as well be all of them)

1. 5

2. 3

3. 2

4. 9

5. 4

6. 2

7. 8

8. 2

9. 11

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

The fraction that is equal to 8/9. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

⇒ 0.8888...

Convert the decimal number into a fraction number, then we have

Let x = 0.8888..., then

10x = 8.888....

10x - x = 8.8888.... - 0.8888...

9x = 8

x = 8/9

The fraction that is equal to 8/9. Then the correct option is A.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

14

Step-by-step explanation:

convert 35% to a decimal by moving the decimal to the left two places

.35

.35 × 40 = 14

Answer:

87 percent

Step-by-step explanation:

You just simply divide percent you got (35) by the full amount you could get (40)

35 ÷ 40

Answer:

[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]

hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way

Answer: B. $199.50

Step-by-step explanation:

285 x 0.7 = 199.5

Answer is B. $199.50

Answer:

8

Note: I got it right on the same test you took as me.

The value of time period for the equation is 8.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The population of insects is increasing by 9% each week = 0.09

At the beginning of the experiment, number of insects = 16

Number of insects increased per week

⇒ [tex]16+16(0.09)[/tex]

Let the time period be x.

Number of insects increased after 8 weeks can be found by the equation,

[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]

⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]

Hence we can conclude that the value of time period for the equation is 8.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Answer:

25 weeks

Step-by-step explanation:

I did the work so you can see if you need the explanation just ask and I'll comment it

Answer:

i think it is 25

Step-by-step explanation:

i 900÷36 × the answer which is 25

Answer: what is this?

Answer:

x = -20

Step-by-step explanation:

Add 14 to both sides to isolate the x:

x - 14 + 14 = -34 + 14

x = -20

Hope this helps!

Step-by-step explanation:

hope it helps!!!!!!!!!

Answer:

a circle

Step-by-step explanation:

yeah-ya... right?

Answer:this is the answer

Answer:

[tex]f^{-1}(x)=3x-6[/tex]

Step-by-step explanation:

Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.

[tex]x=1/3*f^{-1}(x)+2[/tex]

[tex]x-2=1/3*f^{-1}(x)[/tex]

[tex]f^{-1}(x)=3(x-2)[/tex].

[tex]\boxed{f^{-1}(x)=3x-6}[/tex]

Answer:

Option D portrays that

Matrix A multiplied by an identity matrix equals Matrix A

Answer:

POL  and KLO

Step-by-step explanation:

Alternate interior angles are between the parallel lines and on opposite sides of the transversal

NOL and MLO

POL  and KLO

Answer:

KLO and POL

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

4 ( 3x + 5 )

= 4 ( 3x ) + 4 ( 5 )

= 12x + 20

The coefficient of x in 12x is 12.

Answer:

In order to make g as the subject, we have only g on the left side and rest of the terms are denoted on the right. So, we consider it as X=3g+2 and switch to other side's 3g+2=x. It has to divide both sides by 3 and literally consider for g=1/3x-2/3 and therefore answer is g=1/3X-2/3.

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Answer:-3/4

Step-by-step explanation: Raises 3 units, goes to the left 4 units.

Answer:

-3/4

Step-by-step explanation:

Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.

Answer: 24

Step-by-step explanation:

Let the total number of problems be x.

After 15 minutes, [tex]x-\frac{1}{4}x=\frac{3}{4}x[/tex] problems are left.

After another 15 minutes, [tex]\frac{3}{4}x\left(1-\frac{1}{3})=\frac{3}{4}x\left(\frac{2}{3} \right)=\frac{1}{2}x[/tex] problems are left.

This is equal to 12, meaning x = 24.