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3 years ago

What is the equation of the line on the graph with points (-2,2) and (-2,-3)

Mathematics

1 answer:

nika2105 [10]3 years ago

4 0

Answer:

x=-2

Step-by-step explanation:

Given points are (-2,2) and (-2,-3).

Now we need to find equation of the line passing through the given points.

So let's begin by finding slope

$m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}$

which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.

Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.

x-coordinate is -2 in given points.

Hence final equation is x=-2.

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Find the area of the polygon with vertices (1, 2) (1, -5) (5, -5) (5,2)

Svetradugi [14.3K]

Answer:

28 square units

Step-by-step explanation:

These vertices are written in the form of their x and y coordinates. Let

A=(1,2) ; B =(1,-5) ; C =(5, -5) ; D=(5,2)

The x points are 1, 1, 5, 5

The y points are 2,-5, -5, 2

The x extremes range from 1 to 5. The length in-between is 5-1 = 4

The y extremes range from -5 to 2. The length in-between is 2-(-5) = 7

Area of the polygon enclosed by the coordinates

= 4 x 7 = 28 square units

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3 years ago

A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research st

Andreyy89

Answer: b) statistic

Step-by-step explanation:

Population = A large groups of individuals sharing the same or similar characteristic by the point og study.
Sample = It is a subset of population .
Parameter = It is measure of characteristic in population.
Statistic = It is measure of characteristic in sample.

Since the average score was taken by the group of 20 which is nothing but the sample.

That means, the average score is an example of<u> statistic</u>.

Hence, the correct option is b) statistic .

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3 years ago

30+5y_>4x I need the answer ASAP

Gre4nikov [31]

30+5y_>4x
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3 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

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3 years ago

On a family trip, natalie counted 3 groups of 5 motocycles and additonal 7 solo motocycles. write an expression for the number o

timama [110]

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3 years ago

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