3×9
n+1
−9×3
2n
=
3×3
2n+3
−(3
2
)
n+1
3×(3
2
)
n+1
−3
2
×3
2n
=
3
1+2n+3
−3
2n+2
3
1+2n+2
−3
2+2n
=
3
4+2n
−3
2n+2
3
3+2n
−3
2+2n
=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)
=
81−9
27−9
=
72
18
=
4
1
Sorry but we don't see the shapes
<u><em>^Have a good day, Hazel^</em></u>
Answer:
I think Darius I is the correct answer.
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry
Answer:
D x = 18
Step-by-step explanation:
Given equation:
−2x = −36
Divide both sides by -2 to find x
−2x / -2 = −36 / -2
x = −36 / -2
x = 18
x = 18 makes the equation −2x = −36 true