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3 years ago

Select the three equations that pass through the points (-4, -16) and (5,2).

Mathematics

2 answers:

dezoksy [38]3 years ago

5 0

Answer:

The equation of the line is $y-2 = 2(x - 5)$ , that passes through points $(-4, -16)\ and\ (5,2)$

Step-by-step explanation:

Given points are $(-4, -16)\ and\ (5,2)$

We need to write the equation of the line that passes through these points

First, we will find slope of this line

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-(-16)}{5-(-4)}\\\\m=\frac{2+16}{5+4}\\\\m=\frac{18}{9}=2$

So, our slope is $2$ . Now, we will plug the point $(5,2)$ in the equation below.

$(y-y_1)=m(x-x_1)\\y-2=2(x-5)\\$

So, the equation of the line is $y-2 = 2(x - 5)$ .

Studentka2010 [4]3 years ago

5 0

Answer:

It's B,C,D

Step-by-step explanation:

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2 years ago

Read 2 more answers

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

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3 years ago

A compound inequality is graphed and its graph consists of all real numbers. Which of the following could have resulted in this

Feliz [49]

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3 years ago

4 1/3 ÷ 5 1/6 the respricol of a fraction must be found to solve the problem .what is reciprocal fraction that should be used ?

emmasim [6.3K]

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3 years ago

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Vladimir [108]

Answer:

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Step-by-step explanation:

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2 years ago