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Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Answer:

No

Step-by-step explanation:

they are not equivalent

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

Answer:

a+b=b+a, where a and b are integers

Answer:ggStep-by-step explanation:

Answer:

192%

Step-by-step explanation:

355+50=405

405•100/210=192.857%

increse of 192.857%

Answer: D,C,B

Step-by-step explanation:These are the answers

Answer:

x>1

Step-by-step explanation:

let's make this an inequality.

5-5x<0

let's solve.

-5x<-5

x>1

therefore, the value of x must be larger than 1 for this statement to make sense.

The value of x has to be greater than 1 in order for the expression to make sense.

Answer:

20 and 10

Step-by-step explanation:

Answer:

20 ,10

Step-by-step explanation:

hope it helps

Answer:

the last 1

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

Answer:

Ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Step-by-step explanation:

La mitad de una cantidad es el resultado de partir en dos partes iguales dicha cantidad, siendo cada una de esas partes es la mitad de la cantidad inicial. Por lo que la mitad de un número se calcula dividiendo el número por 2.

El recíproco o inverso multiplicativo de un número x es el número que, cuando es multiplicado por x , da 1.  Es decir, el producto de un número y su recíproco es 1. Para obtener el recíproco de un número, sólo divide 1 por el número. Entonces el reciproco de un numero cualesquiera x es [tex]\frac{1}{x}[/tex].

El doble o duplo de un número se calcula multiplicando el número por 2.

La diferencia es el resultado de la resta o sustracción.

Entonces:

Entonces:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{y}[/tex]*2 = [tex]\frac{1}{x}+1[/tex] Ecuación (A)

Siendo la diferencia de los recíprocos de los números igual a una decima, entonces

[tex]\frac{1}{x}+\frac{1}{y}=\frac{1}{10}[/tex] Ecuación (B)

Entonces, de la ecuación (B) se obtiene:

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{x}[/tex] Ecuación (C)

Reemplazando en la ecuación (A):

[tex]\frac{1}{x}[/tex]÷2 +( [tex]\frac{1}{10}-\frac{1}{x}[/tex])*2 = [tex]\frac{1}{x}+1[/tex]

Resolviendo:

[tex]\frac{1}{x}[/tex]÷2 + [tex]\frac{1}{10}*2-\frac{1}{x}*2[/tex] = [tex]\frac{1}{x}+1[/tex]

[tex]\frac{1}{x}[/tex]*[tex]\frac{1}{2}[/tex] - [tex]\frac{1}{x}*2[/tex] - [tex]\frac{1}{x}[/tex]= 1- [tex]\frac{1}{10} *2[/tex]

[tex]-\frac{5}{2}*\frac{1}{x}=\frac{4}{5}[/tex]

[tex]\frac{1}{x} =\frac{4}{5}[/tex] ÷ [tex](-\frac{5}{2})[/tex]

[tex]\frac{1}{x} =-\frac{8}{25}[/tex]

[tex]x=-\frac{25}{8}[/tex]

Entonces, reemplazando en ecuación (C)

[tex]\frac{1}{y}=\frac{1}{10}-\frac{1}{-\frac{25}{8} }[/tex]

[tex]\frac{1}{y}=\frac{1}{10}+\frac{8}{25}[/tex]

[tex]\frac{1}{y}=\frac{21}{50}[/tex]

[tex]y=\frac{50}{21}[/tex]

Entonces, ambos números son [tex]-\frac{25}{8}[/tex] y [tex]\frac{50}{21}[/tex]

Usando un sistema de ecuaciones, se encuentra que  los números son: [tex]-\frac{1}{4}, -2[/tex]

Si la mitad del reciproco de un numero se suma al duplo del reciproco de otro, la suma es uno mas que el reciproco del primer numero, o sea:

[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]

La diferencia de los reciprocos de los numeros es una decima, o sea:

[tex]\frac{1}{x} - \frac{1}{y} = 10[/tex]

[tex]\frac{y - x}{xy} = 10[/tex]

[tex]y - x = 10xy[/tex]

[tex]y = 10xy + x[/tex]

[tex]y = x(10 + y)[/tex]

[tex]x = \frac{y}{10 + y}[/tex]

Reemplazando en la primera ecuación:

[tex]\frac{1}{2x} + \frac{2}{y} = 1 + \frac{1}{x}[/tex]

[tex]\frac{10 + y}{2y} + \frac{2}{y} = 1 + \frac{10 + y}{y}[/tex]

[tex]\frac{10 + y + 4}{2y} = \frac{y + 10 + y}{y}[/tex]

[tex]\frac{14 + y}{2y} = \frac{2y + 10}{y}[/tex]

[tex]14y + y^2 = 4y^2 + 20y[/tex]

[tex]3y^2 + 6y = 0[/tex]

[tex]3y(y + 2) = 0[/tex]

[tex]y + 2 = 0[/tex]

[tex]y = -2[/tex]

[tex]x = \frac{y}{10 + y} = \frac{-2}{10 - 2} = -\frac{1}{4}[/tex]

Los números son: [tex]-\frac{1}{4}, -2[/tex]

Un problema similar es dado en https://brainly.com/question/24646137

the segment is 4 units long

hope this helps

Answer:

604

Step-by-step explanation:

just simple division pls giv 5 out ogf 5 and thanks

Answer:

634

Step-by-step explanation:

Answer:

3/2 and 6/9

Step-by-step explanation:

the teacher said  i was right

Answer:

A) 0.9604

Step-by-step explanation:

Because it is.

Answer:

I'd say 50

Step-by-step explanation:

I just divided 150 by 3 since I only saw 3 toppings.

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

Answer:

6 feet = 1.8288 meters

Step-by-step explanation:

Hope this helps and have a phenominal day!

Answer:

m∠UVW = 12°

m∠XYZ = 78°

Step-by-step explanation:

m∠UVW = (x - 10)°

m∠XYZ = (4x - 10)°

∠UVW + ∠XYZ = 90°

(x - 10) + (4x - 10) = 90

   x - 10 + 4x - 10 = 90

               5x - 20 = 90

                       5x = 110

                         x = 22

m∠UVW = (22 - 10)° = 12°

m∠XYZ = (4(22) - 10)° = 78°

Answer:

3021

Step-by-step explanation:

Answer:

Your answer is: Estimated is: 3,000

The real answer was:

↓

3,021.

Step-by-step explanation:

Hope this helped : )

Answer:

hello…

the colored part is 20%

Answer:

-2

Step-by-step explanation:

Bc÷2a

5×-4÷2×5

-20÷10

-2

The value of the expression bc ÷ 2a will be negative 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A principle that specifies the right procedure to follow while calculating a mathematical equation is known as the activities to be conducted.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

The value of the variable expression when a = 5, b = 5, and c = -4.

The expression is given below.

⇒ bc ÷ 2a

Substitute the value of the variable a = 5, b = 5, and c = -4.

⇒ 5 × (-4) ÷ 2 × 5

Simplify the expression, then the value of the expression will be

⇒ - 20 ÷ 10

⇒ - 2

The value of the expression will be negative 2.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

It is -1.

Step-by-step explanation:

To start off y=mx+b is the formula for this type of problem. y and x are variables, m is the slope, and b is the y-intercept. Since you need to identify the y-intercept, all you need to do is look at the end of the equation to find the y-intercept. In this case it is -1, since -1 is b.

Hope that helps!

Answer:

actually the answer is 3

Step-by-step explanation:

the reason it's a nagative is because the one was flipped to the opposite side of the equation flip it to a positive and add it to the 2 right next to it you got three or you could always graph it.

Okay I will help you.

9 7/9 simplified and in mixed number form.

PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS

Answer:

52.5 square millimeters.

Step-by-step explanation:

Area of a Trapezoid = (a+b/2)h

= (9+12/2)•5

=(21/2) • 5

= 10.5 • 5

= 52.5 square millimeters

hope this helps!

Answer:

52.5 mm^2 (square millimeters)

Step-by-step explanation:

Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)

Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).

The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).

Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.

Add both areas to find the total area:

45mm^2 + 7.5mm^2 = 52.5 mm^2.

____________________________

Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2

Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.

Given that our first base is 9, second base is 12, and our height is 5.

A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5

Then just put this quantity in mm^2 because it is the area of the figure in that unit.

→ 52.5 mm^2

_____________________________

Answer:

8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?

Step-by-step explanation:

8 /27

is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions :

Find the GCD (or HCF) of numerator and denominator

GCD of 8 and 27 is 1

Divide both the numerator and denominator by the GCD

8 ÷ 1

27 ÷ 1

Reduced fraction:  

8 /27

Therefore, 8/27 simplified to lowest terms is 8/27.

Answer:

-8/27

Step-by-step explanation: