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aleksklad [387]
3 years ago
7

I need to know how to know the answer and how to solve this

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

the line equals 180 degrees...

(4q-1)+117= 180

-117 -117

4q-1=63

+1 +1

4q= 64

/4 /4

q= 16 degrees

Step-by-step explanation:

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Which equation does not represent a function? A) y = 2x + 3 B) x = 4y + 7 C) 6x - 5y = 8 D) y2 = -5x - 8
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The first term of a geometric sequence is 6 and the fourth term is 384. What is the sum of the first 10 terms of the correspondi
aleksandrvk [35]

Answer:

2097150

Step-by-step explanation:

<u>GIVEN :-</u>

  • First term of G.P. = 6
  • Forth term of G.P. = 384

<u>TO FIND :-</u>

  • Sum of first 10 terms of the G.P.

<u>CONCEPT TO BE USED IN THIS QUESTION :-</u>

<em>Geometric Progression :-</em>

  • It's a sequence in which the successive terms have same ratio.
  • General form of a G.P. ⇒ a , ar , ar² , ar³ , ....... [where a = first term ; r = common ratio between successive terms]
  • Sum of 'n' terms of a G.P. ⇒ \frac{a(r^n - 1)}{r-1}.

<em>[NOTE :- </em>\frac{a(1-r^n)}{1-r} can also be the<em> formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator &  denominator from which the negative sign will get cancelled from the numerator & denominator. </em><em>YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.</em><em>]</em>

<u>SOLUTION :-</u>

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that <u>forth term</u> is 384. So from "General form of G.P." , it can be stated that :-

=> ar^3 = 384

=> 6r^3 = 384

Divide both the sides by 6.

=> \frac{6r^3}{6} = \frac{384}{6}

=> r^3 = 64

=> r = \sqrt[3]{64} = 4

Sum of first 10 terms = \frac{6(4^{10}-1)}{4 - 1}

                                     = \frac{6(1048576 - 1)}{3}

                                     = 2 \times 1048575

                                     = 2097150

6 0
3 years ago
Michael is trying to write the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? Mic
gizmo_the_mogwai [7]

Answer:

Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

Correct solution: 6 ÷ (5 + y)

Step-by-step explanation:

- <em>Lets revise some words of some operations in mathematics</em>

# The sum ⇒ (+) Add

# The difference ⇒ (-) subtract

# The product ⇒ (×) multiply

# The quotient (answer of division) ⇒ (÷) divide

* <em>Lets solve the problem</em>

- Michael is trying to write the algebraic expression for the following

 word phrase:

 the quotient of 6 and the sum of 5 and y

- <u><em>Lets explain that:</em></u> the quotient means the answer of division so he

 wants to divide a quantity by another one

∵ The first quantity is 6

∵ The second quantity is the sum of 5 and y

- He wants to divide 6 by (5 + y)

∴ The expression is 6 ÷ (5 + y)

* Error: He multiplied 6 by 5 + y instead of divided 6 by 5 + y

* Correct solution: 6 ÷ (5 + y)

4 0
3 years ago
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