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Sunny_sXe [5.5K]
3 years ago
14

What are the solutions to the expression x^2-8x=24

Mathematics
1 answer:
labwork [276]3 years ago
6 0

Answer: x= 2(2+sqrt(10)) , x=2(2-sqrt(10)

Step-by-step explanation:

x^2-8x=24 <- subtract 24 from both sides

x^2-8x-24 <- take quadratic formulat (-2+/- Sqrt(b^2 - 4ac)/2a

-(-8) +/- sqrt((-8)^2 - 4(1*-24) all over (2*1) <- simplify

(-(-8) +/- 4sqrt(10) )/2 <- sepereate

(-(-8) +/4sqrt(10) )/2 ,  (-(-8) - 4sqrt(10) )/2 <- simplify

2(2+sqrt(10)) , 2(2-sqrt(10) =x

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6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número
Rzqust [24]

Answer:

6. Miles  {}     cientos       decenas      unidades

  4   {}              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  {}     cientos       decenas      unidades

4   {}              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

8 0
3 years ago
Solve the equation, and check the solutions √(x+9)/4=3.
nadya68 [22]

Answer:

Solution: x = 135

Step-by-step explanation:

Hi there!

First, let´s write the equation:

√(x + 9) /4 = 3

Multiply by 4 both sides of the equation

√(x + 9) = 12

square both sides of the equation

x + 9 = 144

subtract 9 to both sides of the equation

x = 135  

Let´s check the solution:

√(x + 9) /4 = 3

x = 135

√(135 + 9) /4 = 3

√(144) /4 = 3

12/4 = 3

3 = 3

Then, x = 135 is the solution to the equation.

Have a nice day!

8 0
3 years ago
One half of the total cost
kotegsom [21]
You divid it by two my dude
4 0
3 years ago
The height and length of a right rectangular prism are each 12 cm. The surface area of the prism is
RideAnS [48]

Answer:

99

Step-by-step explanation:

8 0
3 years ago
CAN SOMEONE PLEASE HELP WILL GIVE 20 POINTS AND GIVE YOU A FIVE STAR RATING AND GIVE 20 POINTS
Alla [95]

1. 4^2 +x^2 = 6^2

16 + x^2 = 36

x^2 = 20, x = sqrt(20) = 4.47 miles


2. using the same equation as above: 20 inches

3. needs to be a right triangle so A

4. using distance formula answer is 7.07 units

5.volume cylinder: 62.82, volume sphere: 33.51, difference:=62.82 -33.51 = 29.31 cubic inches 


8 0
3 years ago
Read 2 more answers
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