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Alenkinab [10]
3 years ago
8

three terms of an arithmetic sequence are shown below. Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) =

18 f (n + 1) = f(n) + 6
Mathematics
2 answers:
Rainbow [258]3 years ago
6 0
The answer is f<span>(</span>n<span> + 1) = </span>f(n<span>) + 2</span>
Viefleur [7K]3 years ago
4 0
A = 6
tn = a + (n - 1)d
t4 = 6 + 3d = 12
3d = 12 - 6 = 6
d = 6/3 = 2
f(n + 1) = f(n) + 2
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f sine of x equals square root of 2 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.
Yanka [14]
Sin(x) = opposite over hypotenuse 
Cos(x) = adjacent over hypotenuse
Tan(x) = opposite over adjacent

Everything revolves around a right triangle.
From the given equation, "<span>sine of x equals square root of 2 over 2"

Opposite = square root of 2
Hypotenuse = 2
Adjacent = ?

Using the Pythagorean Equation: H^2 = O^2 + A^2
2^2 = (square root of 2)^2 + A^2
A^2 = 4 - 2
A = square root of 2

Cos(x) = square root of 2 over 2
Tan(x) = square root of 2 over square root of 2 = 1</span>
8 0
3 years ago
Make a two-column proof showing statements and reasons to prove that triangle DEF is similar to triangle DGE. (10 points)
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4 0
3 years ago
What is the length of the line segment with end points (5, -7) and (5, 11)​
Law Incorporation [45]

Answer:

<h2>18</h2>

Step-by-step explanation:

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points (5, -7) and (5, 11). Substitute:

d=\sqrt{(5-5)^2+(11-(-7))^2}=\sqrt{0^2+18^2}=\sqrt{18^2}=18

4 0
3 years ago
What is the result of adding these two equation?<br> 5x-9y=1<br> -7x+2y=-5
SCORPION-xisa [38]

The result of adding the given equations is 2x+7y=4.

Step-by-step explanation:

Given equations are;

5x-9y=1     Eqn 1

-7x+2y=-5   Eqn 2

Adding Eqn 1 and 2

(5x-9y)+(-7x+2y)=1+(-5)\\5x-9y-7x+2y=1-5

Arranging alike terms;

5x-7x-9y+2y=-4\\-2x-7y=-4

Dividing each term by -1

\frac{-2x}{-1}+\frac{-7y}{-1}=\frac{-4}{-1}\\2x+7y=4

The result of adding the given equations is 2x+7y=4.

Keywords: addition, linear equations

Learn more about addition at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
HELP EXPERTS AND GENIUSES PLS HELP
aalyn [17]
45 * 2 = 90
90 x 3.14 = 282.6 cm

 answer is: <span>3:282.6 cm</span>
6 0
3 years ago
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