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zlopas [31]
2 years ago
8

4. The first two numbers in a sequence are 3, 9.

Mathematics
1 answer:
UkoKoshka [18]2 years ago
5 0

The next two terms in the arithmetic progression will be 15 and 21.

Based on the information given, the following can be deduced.

First term = 3

Second term = 9

Common difference = 9 - 3 = 6

The nth term of an arithmetic progression is given as: = a + (n-1)d

Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15

4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21

The next 2 terms are 15 and 21.

Read related link on:

brainly.com/question/24429956

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What is the length of segment AE?
nexus9112 [7]

Answer:

AE=\frac{50}{3}\ units

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

AC^{2} =AB^{2}+BC^{2}

substitute

AC^{2} =6^{2}+8^{2}

AC^{2} =100

AC =10\ units

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

\frac{AB}{CD}=\frac{AC}{CE}

substitute and solve for CE

\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units

6 0
3 years ago
HELP ASAP PLEASE!!! 20 POINTS!
Elenna [48]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Use the expression "x + 2" to work this out

1 + (1 + 2) + (3 + 2) + (5 + 2) + (7 + 2) + (9 + 2) + (11 + 2 ) + (13 + 2) = 64

He will have saved $64

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
Find the midpoint of the line segment whose endpoints are the given points. (-24.6, 38.1) and (-25.7, -17.7)
CaHeK987 [17]

Answer:

Midpoint is(-25.15,10.2)

Step-by-step explanation:

A line segment refers to line that has two endpoints.

Let (a,b),(c,d) be the endpoints of a line segment.

Midpoint of the line segment is given by (\frac{a+c}{2} ,\frac{b+d}{2})

Take the given points as follows:

(a,b)=(-24.6,38.1)\\(c,d)=(-25.7,-17.7)

Midpoint of a line segment =(\frac{-24.6-25.7}{2},\frac{28.1-17.7}{2})

=(\frac{-50.3}{2} ,\frac{20.4}{2} )\\=(-25.15,10.2)

7 0
2 years ago
-9 a que conjunto pertenece -4/4 a que conjunto pertenece -5.124 a que conjunto pertenece rapidoo pls
Hunter-Best [27]

Answer:

-9 al conjunto de los números enteros.

-4/4 pertenece a los enteros.

-5.124 pertenece al conjunto de los racionales

Step-by-step explanation:

En esta pregunta, básicamente lo que debes hacer es clasificar cada uno de los números de acuerdo al conjunto numérico. Como podrás ver en la foto 1, tienes una representación gráfica de los conjuntos numéricos existentes.

Los números naturales (N), comprenden desde el 1 hasta el infinito.

Los números enteros (Z) comprenden los negativos, el cero y todos los naturales.

Finalmente los números racionales (Q) comprenden los números enteros, los naturales y también fracciones y números decimales.

De acuerdo a estas definiciones y la foto, podemos observar que todos los números dados acá pertenecen al conjunto general de los racionales (Q), pero veamos ahora específicamente a cual:

El número -9 (o el 9) si es negativo, pertenece a los enteros; si es positivo sería entero y natural.

El número -4/4 es una fracción, que al ser dividida da como resultado el número -1, y este pertenece a los enteros.

El número -5.124 (o 5.124) es un número decimal finito, por lo que proviene de una fracción, asi que pertenece a los números racionales.

Espero que esto te ayude.

6 0
3 years ago
Kate baked a rectangular cake for a party she used 42 inches of frosting around the edges of the cake if the cake was 9 inches w
Leno4ka [110]
9 + 9 = 18
42 - 18 = 24
24 / 2 = 12
the length is 12 inches
7 0
3 years ago
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