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xxTIMURxx [149]
2 years ago
15

A) Write ²

Mathematics
1 answer:
I am Lyosha [343]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

(a)

x² - 2x - 4

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 2x

= x² + 2(- 1)x + 1 - 1 - 4

= (x - 1)² - 5

with c = - 1 and d = - 5

(b)

x² - 2x - 4 = 0 ← using result from (a) , that is

(x - 1)² - 5 = 0 ( add 5 to both sides )

(x - 1)² = 5 ( take the square root of both sides )

x - 1 = ± \sqrt{5} ( add 1 to both sides )

x = 1 ± \sqrt{5}

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Critérios de divisibilidade dos números 2,3,4,5,6,8 e 10
san4es73 [151]

Step-by-step explanation:

Los criterios de divisibilidad nos ayudan a saber de antemano cuándo un número natural es divisible por otro.

Ser divisible significa que cuando dividimos estos números, el resultado será un número natural y el resto será igual a cero.

Presentaremos los criterios de divisibilidad por 2, 3, 4, 5, 6, 7, 8, 9 y 10.

Divisibilidad por 2

Cada número cuyo dígito unitario sea par será divisible por 2, es decir, los números que terminan en 0, 2, 4, 6 y 8.

Ejemplo

El número 438 es divisible por 2 ya que termina en 8, que es un número par.

Divisibilidad por 3

Un número es divisible por 3 cuando la suma de sus dígitos es un número divisible por 3.

Ejemplo

Verifica que los números 65283 y 91277 sean divisibles por 3.

Solución

Sumando los dígitos de los números indicados, tenemos:

6 + 5 + 2 + 8 + 3 = 24

9 + 1 + 2 + 7 + 7 = 26

Dado que 24 es un número divisible por 3 (8. 3 = 24), entonces 65283 es divisible por 3. El número 26 no es divisible por 3, por lo que 91277 tampoco es divisible por 3.

Divisibilidad por 4

Para que un número sea divisible entre 4, sus dos últimos dígitos deben ser 00 o divisibles entre 4.

Ejemplo

¿Cuál de las siguientes opciones tiene un número que no es divisible por 4?

a) 35748

b) 20500

c

) 97235 d) 70832

Solución

Para responder a la pregunta, verifiquemos los dos últimos dígitos de cada opción:

a) 48 es divisible por 4 (12. 4 = 48).

b) 00 es divisible por 4.

c) 35 no es divisible por 4, ya que no hay un número natural que multiplicado por 4 sea igual a 35.

d) 32 es divisible por 4 (8.4 = 32)

Entonces la respuesta es la letra c. El número 97235 no es divisible por 4. S

3 0
2 years ago
Combine like terms - y + 9z - 16y - 25z + 4
alexandr402 [8]

- 17y - 16z + 4

Step-by-step explanation:

1) Collect like terms.

( - y - 16y) + (9z - 25z) + 4

2) Simplify.

- 17y - 16z + 4

So, therefor, the answer is -17y - 16z + 4.

8 0
3 years ago
Stephen makes wooden shelves for his room he starts with a board that is 20 feet long.Stephen wants to make the shelves 3/4 foot
jek_recluse [69]

The number of shelves stephen can make is approximately 27

<h3><u>Solution:</u></h3>

Given that Stephen makes wooden shelves for his room

Stephen wants to make the shelves 3/4 foot long

He starts with a board that is 20 feet long

To find: number of shelves he can make

So the number of shelves stephen can make can make is found out by dividing 20 feet long board by 3/4 foot long

\text {number of shelves }=\frac{\text { total length of board stephen has }}{\text { length of each board }}

\text {number of shelves }=\frac{20}{3 / 4}=\frac{20}{0.75}=26.6

So the number of shelves stephen can make is approximately 27

3 0
3 years ago
What is th difference in length between a 1 1/4 inch button and a 3/8 inch button
artcher [175]
Okay so 11/4 needs to be multiplied by 2 so that the D match up.

so 11/4 x 2 =  22/8

22/8  -  3/8  = 19/8

The difference is 19/8
8 0
3 years ago
A square canvas has an area of 49 square inches. What is the perimeter of the canvas?
a_sh-v [17]

Answer:

Step-by-step explanation:

Area = side*side

side * side = 49

side * side = 7*7

side = 7 inches

Perimeter = 4*side

=4 * 7

= 28 inches

4 0
3 years ago
Read 2 more answers
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