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Nadya [2.5K]
2 years ago
14

What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0

Mathematics
1 answer:
pogonyaev2 years ago
5 0

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

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Help plead and thank you :)
STALIN [3.7K]
Plug in 10 for both functions
f(10) = 4(10)^4 = 40,000
g(10) = 3 * 3^10 = 177,147
Now which value is greater?

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7 0
3 years ago
I need to also know if it is <br><br> SAS<br> AA<br> SSS<br> NOT SIMILAR
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Explanation:

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5 0
2 years ago
Read 2 more answers
How do i solve y+4=4/3(x+1)
ICE Princess25 [194]
Y + 4 = 4/3(x + 1)...first we distribute
y + 4 = 4/3x + 4/3 ...now we subtract 4 from both sides
y = 4/3x + 4/3 - 4
y = 4/3x + 4/3 - 12/3
y = 4/3x - 8/3 <======
u will have a slope of 4/3....and a  y int of (0,-8/3)...ur x int is (2,0)

in standard form, it is :
y = 4/3x - 8/3
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5 0
3 years ago
Limestone is dissolved by chemical weathering at a rate of 0.2 cm every 100 years. At this rate, after how many years souldva la
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4 0
3 years ago
PLEASE HELP ASAP WILL MEDAL BRAINLIEST
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Given
Present investment, P = 22000
APR, r = 0.0525
compounding time = 10 years
Future amount, A 

A. compounded annually
n=10*1=10
i=r=0.0525
A=P(1+i)^n
=22000(1+0.0525)^10
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B. compounded quarterly
n=10*4=40
i=r/4=0.0525/4
A=P(1+i)^n
=22000*(1+0.0525/4)^40
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Therefore, by compounding quarterly, she will get, at the end of 10 years investment, an additional amount of
37063.29-36698.11
=$365.18

5 0
2 years ago
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