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omeli [17]
3 years ago
8

I need help solving this problem. Thanks

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

9514 1404 393

Answer:

  y = -4/7x +58/7

Step-by-step explanation:

The slope of the given line segment is ...

  m = (y2 -y1)/(x2 -x1)

  m = (17 -3)/(1 -(-7)) = 14/8 = 7/4

Then the slope of the perpendicular line is ...

  -1/m = -4/7 . . . . . slope of the perpendicular bisector.

__

The midpoint of the given line segment is ...

  M = 1/2(x1 +x2, y1 +y2)

  M = (1/2)(-7 +1, 3 +17) = 1/2(-6, 20) = (-3, 10)

__

The y-intercept of the bisector can be found from ...

  b = y -mx

  b = 10 -(-4/7)(-3) = 10 -12/7 = 58/7

Then the slope-intercept form equation for the perpendicular bisector is ...

  y = mx +b

  y = -4/7x +58/7

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Answer:

Peculiar purples would be more abundant

Step-by-step explanation:

Given that eculiar Purples and Outrageous Oranges are two different and unusual types of bacteria. Both types multiply through a mechanism in which each single  bacterial cell splits into four. Time taken for one split is 12 m for I one and 10 minutes for 2nd

The function representing would be

i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

a) Here P0 =3, time t = 60 minutes.

i) I bacteria P = 3(4)^{5} =3072

ii) II bacteria P = 3(4)^{4} =768

b) Since II is multiplying more we find that I type will be more abundant.

The difference in two hours would be

3(4)^{10}- 3(4)^{8} =2949120

c) i) P=P_0 (4)^{t/12} for I bacteria where t is no of minutes from start.

ii) P=P_0 (4)^{t/10} for II bacteria where t is no of minutes from start. P0 is the initial count of bacteria.

d) At time 36 minutes we have t = 36

Peculiar purples would be

i) P=3 (4)^{36/12}=192

The rate may not be constant for a longer time.  Hence this may not be accurate.

e) when splits into 2, we get

P=P_o (2^t) where P0 is initial and t = interval of time

7 0
3 years ago
Which of the following are examples of irrational numbers?
andreyandreev [35.5K]
√4 + √16 = 2 + 4 = 6   <--- rational
√5 + √36 = √5 + 6   <--- irrational 
√9 + √24 = 3 + √24   <--- irrational
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3√12 = 3√(4 * 3) = (3 * 2)√3 = 6√3    <---irrational

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3 years ago
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Answer:

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Step-by-step explanation:

7 0
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Each day, a young person should sleep 9 hours plus 1 4 hour for each year that the person is under 18 years of age. Assuming the
Andre45 [30]

Answer:

y(x) = 9 + 0.25*(18 - x)

Step-by-step explanation:

We have the following variables:

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This means that y is 9 added to something

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For each year the person is under 18 years of age, she should sleep 1/4 = 0.25h on top of the 9 hours.

So the equation relating hours of sleep y and age x is:

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Answer:

I would say the distance that she is from the mirror .

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Step-by-step explanation:

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