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Firlakuza [10]
3 years ago
9

What is the equation of the line that is parallel to the line y = - 1/3x + 4 and passes through the point (6, 5)?

Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Answer:

y=-\frac{1}{3}x+7

Step-by-step explanation:

we know that

If two lines are parallel then their slopes are equal

The equation of the given line is

y=-\frac{1}{3}x+4

the slope is m=-\frac{1}{3}

so

the slope of the parallel line to the given line is also m=-\frac{1}{3}

Find the equation of the line that is parallel to the given line and passes through the point (6, 5)

we have

m=-\frac{1}{3}

point\ (6,5)

The equation of the line in point slope form is

y-y1=m(x-x1)

substitute

y-5=-\frac{1}{3}(x-6)

Convert to slope intercept form

y=mx+b

isolate the variable y

y-5=-\frac{1}{3}x+2

y=-\frac{1}{3}x+2+5

y=-\frac{1}{3}x+7

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13.3 + 2.8 + 5.6

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Answer:

688.7

Step-by-step explanation:

Top and Bottom

Area = 3/4 * pi * r^2

r = 6

Area = 3/4 * 3.14 * 6^2

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Don't round yet.

Vertical surface

Vertical surface = 3/4 * pi * d * h

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Vertical surface = 3/4 * 3.14 * 12 * 15

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Two inner faces

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Area = 2 * L * W

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w=6

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A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

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Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

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In which s is the standard deviation of the sample and n is the size of the sample.

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The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0
3 years ago
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