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2 years ago

IS this statement true.When two conjugates are multiplied, the product is a

Mathematics

1 answer:

zepelin [54]2 years ago

5 0

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J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

DENIUS [597]

Answer:

The n th of the given sequence is $t_{n} = 26-6 n$

Step-by-step explanation:

Step 1 :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference is $d = second term- first term = 14-20=-6$

now the nth term of given sequence is

by using formula $t_{n}=a+(n-1)d$

$t_{n}= 20+(n-1)(-6)$

$t_{n}= 20-6 n+6$

final answer:-

$t_{n} = 26-6 n$

verification:-

$t_{n} = 26-6 n$

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

$t_{n} = 26-6 n$

3 0

3 years ago

9x-23=49 what is the second step in this equation?

ladessa [460]

Answer:

Divide both sides by 9.

Step-by-step explanation:

To find the second step of the equation, we actually have to solve parts of the equation until we get to step 2.

Step 1: Add 23 to both sides.

$9x - 23 + 23 = 49 + 23$
$9x = 72$

Step 2: Divide both sides by 9.

$\frac{9x}{9} = \frac{72}{9}$
$x = 8$

Therefore, the second step is divide both sides by 9.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0

2 years ago

What is the volume of the cylinder in the diagram radius 6 height 13

julia-pushkina [17]

v = PI x r^2 X H

v = 3.14 x 6^2 x 13

v= 3.14 x 36 x 13 = 1469.52 cubic units

answer may vary slightly depending on value of PI used.

3 0

3 years ago

Read 2 more answers

Find the 60th term of the arithmetic sequence −29,−49,−69,...

andreev551 [17]

Answer:

Step-by-step explanation:

it is basically counting by 2s but rather by 20s.

20, 40,60,80

all you do is add a 9 at the end.

6 0

3 years ago

Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Serhud [2]

Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

Area of a rhombus is

$Area=base\times height$

$Area=6\times 3\sqrt{3}$

$Area=18\sqrt{3}$

Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

8 0

2 years ago

Read 2 more answers