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Aleksandr-060686 [28]
3 years ago
14

Find a formula for a geometric sequence that begins with 7, 35, 175,...​

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0

Answer:

○ b. \displaystyle b_n = 7(5)^{n - 1}

Step-by-step explanation:

The original term is "7", the common ratio is "5", and finally, you set the exponent to the power of "<em>n</em><em> </em>- 1".

I am joyous to assist you anytime.

alisha [4.7K]3 years ago
3 0

a = 7

r = 35/7 = 5

a × r^(n-1)

7 × 5^(n-1)

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Bas_tet [7]

Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.    
1. DE is equal to CD by definition since D is the midpoint of CE.  
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.  
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.  
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.  
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
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3 years ago
Expand &amp; simplify<br> 3(t+5)+5(t−6)
Reptile [31]

Answer:

8t - 15

Explanation:

⇒ 3(t+5)+5(t−6)

distribute inside parenthesis

⇒ 3(t) + 3(5) + 5(t) + 5(-6)

multiply the variables

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collect like terms

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6 0
2 years ago
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-2x + y =0 <br> 5x + 3y = -11
Ivahew [28]

Answer:

(-1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-2x + y = 0

5x + 3y = -11

<u>Step 2: Rewrite Systems</u>

-2x + y = 0

  1. Add 2x on both sides:                    y = 2x

<u>Step 3: Redefine Systems</u>

y = 2x

5x + 3y = -11

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                         5x + 3(2x) = -11
  2. Multiply:                                    5x + 6x = -11
  3. Combine like terms:                11x = -11
  4. Isolate <em>x</em>:                                   x = -1

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = 2x
  2. Substitute in <em>x</em>:                       y = 2(-1)
  3. Multiply:                                  y = -2

<u>Step 6: Graph Systems</u>

<em>Check the solution set.</em>

3 0
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slega [8]
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TiliK225 [7]
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 Answer:
 
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A) 3v / h units
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3 years ago
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