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2 years ago

1. What is the next term of the arithmetic sequence 6, 10, 14, 18

Mathematics

2 answers:

givi [52]2 years ago

8 0

It’s 22 (add 6 after every term)

IRINA_888 [86]2 years ago

5 0

It's 22 it's adding 4

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Find the value of x to the nearest tenth.

Alex73 [517]

64 - 9 = 55 \sqrt{55} = 7.4161984871

7.4161984871/2 ≈3.7

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2 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP ASAP!!

kumpel [21]

Answer:

Step-by-step explanation:

Since the triangle is right use the sine/ tangent ratios to solve for x and y

note sin60° = $\frac{\sqrt{3} }{2}$ and tan60° = $\sqrt{3}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{3\sqrt{6} }{y}$

ysin60° = 3 $\sqrt{6}$

y × $\frac{\sqrt{3} }{2}$ = 3 $\sqrt{6}$

multiply both sides by 2 and divide by $\sqrt{3}$

y v= 6 $\sqrt{\frac{6}{3} }$ = 6 $\sqrt{2}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{3\sqrt{6} }{x}$

xtan60° = 3 $\sqrt{6}$

x × $\sqrt{3}$ = 3 $\sqrt{6}$

divide both sides by $\sqrt{3}$

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

8 0

2 years ago

Read 2 more answers

Find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2

fiasKO [112]

Hi!

$3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}$

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2 years ago

Solve the equation p^2 + 4p = 1 by completing the square.

igor_vitrenko [27]

Answer:

p = -2 ±sqrt( 5)

Step-by-step explanation:

p^2 + 4p = 1

Take the coefficient of p

Divide by 2

4/2 =2

Square it

2^2 = 4

Add it to each side

p^2 + 4p+4 = 1+4

(p+2) ^2 = 5

Take the square root of each side

sqrt((p+2) ^2) =±sqrt( 5)

p+2 = ±sqrt( 5)

Subtract 2 from each side

p+2-2 = -2 ±sqrt( 5)

p = -2 ±sqrt( 5)

7 0

2 years ago

Original:19 new amount:30

Westkost [7]

The new amount would be 11 more than the original

8 0

3 years ago