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Likurg_2 [28]
3 years ago
10

Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3

/2x-2 O y = -3/2x-2​
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

y = -\frac{3}{2}x + 2

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

y = mx + b

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that b = 2. So

y = mx + 2

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

\frac{2m}{3} = -1

2m = -3

m = -\frac{3}{2}

So

y = -\frac{3}{2}x + 2

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Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

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Step-by-step explanation:

Total percentage of pie = 100% or 1

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George ate a fraction of 0.150

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Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

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Step-by-step explanation:

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