Write an equation in slope intercept form for a line that goes through the point (-9,4) and is perpendicular to line Y=-3x-2

Mathematics

1 answer:

Leto [7]4 years ago

3 0

Answer:

y = (1/3)x + 7

Step-by-step explanation:

The slope of a line perpendicular to the given line y = -3x - 2 would have to be the negative reciprocal of the slope of the given line:

or, in other words,

the negative reciprocal of -3. That would be +1/3.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.

We substitute the coordinates of the given point, (-9,4), and the slope +1/3:

4 = (1/3)(-9) + b.

This simplifies to

4 = -3 + b, from which it can be easily seen that b = 7.

The desired line is y = (1/3)x + 7.

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a veterinary researcher takes an srs of 60 horses presenting with colic whose average age is 12 years. the average age of all ho

Ghella [55]

Answer:

The value 10 years is the population mean

Step-by-step explanation:

A sample consists of some observations drawn from the population, so a part or a subset of the population which in this case is the number of horses with colic.

A sample mean is the mean of the statistical samples while a population mean is the mean of the total population.

Thus, in this case, the sample mean is the mean age of the horses with colic while the population mean age is the mean age of all the horses found at the clinic.

Therefore, the mean age of 10 of the horses seen at the clinic would be the population mean.

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3 years ago

Given right triangle ABC, what is the value of tan(A)?

Blababa [14]

Answer:

Twelve-fifths

Step-by-step explanation:

Tan θ = opposite ÷ adjacent

Tan A =24/10

=12/5

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