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Helga [31]
3 years ago
9

Factorize:216a^4b+512ab^4​

Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0
Answer:
8ab(27a^3 + 64b^3)
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If 18 g of a radioactive substance are present initially and 9 yr later only 9 g remain, how much of the substance will be prese
kvasek [131]

Answer:

Him hhhuuu vividly

Step-by-step explanation:

8 0
3 years ago
How would you solve #2 and #3?
Pani-rosa [81]
Connect the dots to each other
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3 years ago
Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son...
AleksandrR [38]

Answer:

Para resolver correctamente el ejercicio debemos seguir los pasos que se muestran en la explicación.

Step-by-step explanation:

El ejercicio enunciado de manera completa es el siguiente:

7.Sabiendo que el segmento DE es paralelo a la base del triángulo, las medidas de los segmentos a y b son:  

(la gráfica del ejercicio se guardo como archivo adjunto)

-a = 8 cm y b = 10

-a = 9 cm y b = 11

-Ninguna de las respuestas anteriores es correcta.

<em>SOLUCIÓN:</em>

<em>Pasos:</em>

-Primero debemos hallar el valor de a, la gráfica nos indica que debemos hacer,tenemos que restar 15 de 6; entonces:

a= 15cm -6cm=9 cm

-Ahora debemos aplicar el teorema de thales  ;como los segmentos son proporcionales podemos establecer la siguiente relación de esa manera podemos hallar el valor del segmento b;

   \frac{9}{b}=\frac{6}{7} ( para resolver debemos multiplicar en cruz)

 (9x7)=6xb

 63=6b (aquí debemos hallar el valor de b,para eso b pasa a dividir a 63)

  \frac{63}{6}= b

b= 10.5 cm

La respuesta correcta es:   a= 9cm y b= 10.5 cm

(De las opciones de respuesta dadas en el ejercicio ,ninguna corresponde a la respuesta hallada)

8 0
2 years ago
Find the 9th term of the arithmetic sequence with a 10 and d= -1/2
VLD [36.1K]

a=10

d=-1/2

nth term=a+(n-1)d

10+(9-1)(-1/2)

10-4 =6

5 0
3 years ago
Find the surface area of the prism below.
CaHeK987 [17]

Answer:

the surface area of the prism = <em>378</em> cm³

Step-by-step explanation:

Let S be the surface area of the prism

     B be the base of the prism

     h be the height of the prism

    T be the lateral surface area of the prism

_______

Formula

S = 2B + T

_________

\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}

\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}

\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}

5 0
2 years ago
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