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inysia [295]
3 years ago
15

Find the distance between the lines Y=3x+10 Y=3x-20 AND Y=3/2x+3/2 Y=3/2x-5

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope 
If we have two parallel lines ⇒ y₁ = mx + c₁   and    y₂ = mx + c₂
So, the distance between y₁ and y₂ = d = \frac{|c_{1} - c_{2}|}{\sqrt{1 + m^{2}}}
========================================================

Part (1):
=======

<span>The distance between the lines
</span>
<span> Y₁ = 3x + 10    and       Y₂ = 3x - 20</span>
∴ m = 3  , c₁ = 10  and  c₂ = -20
∴ d = \frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}

========================================================

Part (2):
=======

<span>The distance between the lines
</span>
Y₁ = <span>3/2 x + 3/2</span>    and       Y₂ = <span>3/2 x - 5</span>
∴ m = 3/2 = 1.5  , c₁ = 3/2 = 1.5   and  c₂ = -5
∴ d = \frac{| 1.5- (-5)|}{\sqrt{1 + 1.5^{2}}}= \framebox{3.6}

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In the number 8.028 does one 8 have a value of 100 times the other 8 ?
nirvana33 [79]

Answer:

No, The 8 in the ones place of the decimal and the 8 in the thousands. Decimals go by variables of 10 if that makes sense

so hopping from the 8 in the ones place it would go 10, 100,1000.

Therefore the statement is false because the value between the eitghts is not 100 its 1000

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The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 10^6 . The population
Salsk061 [2.6K]

Answer:

this is it

Step-by-step explanation:

The population of California is approximately 38,040,000. The population of Texas is approximately 26.06 x 106 . The population of New York State is approximately 1.96 x 107

38,040,000 = 3.804 x 107

26.06 x 106 = 2.606 x 107

Which state has the highest approximate population? Show work and/or Explain.

    NY: 1.96 x 107 = 19,600,000

    TX: 2.606 x 107 = 26,060,000

 CA: 3.804 x 107 = 38,040,000      

California has the highest approximate population.

Find the sum of the approximate population of California and New York State.

     (3.804 x 107) + (1.96 x 107) = (3.804 +1.96) x 107 = 5.764 x 107

Find the difference in the approximate population of Texas and New York State.

    (2.606 x 107) - (1.96 x 107) = 0.646 x 107 = 6.46 x 106

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What is the composition of Transformations mapping ∆ABC to ∆A'B"C"?
irina1246 [14]

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

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are there any options on what it is

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I don’t get it. Please help thanks
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Answer:

$2,410.69

Step-by-step explanation:

$1,950 x 1.15 = $2,242.50 after 15% markup

$2,242.50 x 1.075 = $2,410.68 after the 7.5% sales tax.


or you can do:


$1,950 x 0.15 = $292.5 markup

$1,950 + $292.5 = $2,242.50

$2,242.50 x 0.075 = $168.19 for sales tax

$2,242.50 + $168.19 = $2,410.69 total

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4 years ago
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