3 years ago

Help... I need this done by 12:30

Mathematics

1 answer:

alex41 [277]3 years ago

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How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

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3 years ago

What does 6(-2.1k - 2) + (7k + 5) equal

ikadub [295]

Answer:

Step-by-step explanation:

6(-2.1k-2)+(7k+5)

-12.6k-12+7k+5

-5.6k-7

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3 years ago

How do you describe the square root of a rational number

lisabon 2012 [21]

Answer:

I am a 4th grader I don't know

Step-by-step explanation:

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3 years ago

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Find the value of x that will make A||B A- 2x + 50 5x - 80 B- x = [?]

LenKa [72]

Answer:

Step-by-step explanation:

If A||B then the sum of given angles must be equal to 180°

2x + 5 + 5x - 80 = 180 add like terms

7x - 75 = 180 subtract 75 from both sides

7x = 105 divide both sides by 7

x = 15

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3 years ago

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PLEASE HELP!! URGANT!!

ella [17]

Answer: 100

set up equation: GHE+EHI=GHI

(x+38)+(x+104)=134

calculate

you get x= -4

put -4 into EHI

(-4)+104= 100

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3 years ago