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3 years ago

What is the slope of the line that passes through the points (-4, -9) and (5, 3)

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

Answer:

4/3

Step-by-step explanation:

Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

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A health organization collects data on hospitals in a large metropolitan area. The scatterplot shows the relationship between tw

zaharov [31]

Answer:

D. the hospital with 310 beds

Step-by-step explanation:

just did it in edge

6 0

3 years ago

In a bag of marbles, 10 are blue, 30 are yellow, 20 are red, and 40 are green.AN marbles is taken from the bag without looking.

antoniya [11.8K]

Answer:

see below

Step-by-step explanation:

10 are blue, 30 are yellow, 20 are red, and 40 are green.

There are 100 marbles in the bag

The color that has the most marbles is green

P( green) = 40/100 = 40%

P( yellow) = 30/100 = 30%

P( red) = 20/100 = 20%

P( blue) = 10/100 = 10%

You will be more likely to pick a green marble

5 0

3 years ago

During which time period does Landon's elevation change the fastest? Explain how you know?

bogdanovich [222]

<h3>1. How many inches per minute does London's elevation change between 4 minutes and 8 minutes. </h3>

The question actually asks for the slope of the line that stands for the points $(4,3) \ and \ (8,6)$ why? because the questions tells us that London's elevation changes between 4 minutes and 8 minutes here. Hence, to find the slope of this line we have to use the following formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6)$

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(4,3) \\ P(x_{2},y_{2})=P(8,6) \\ \\ So: \\ \\ m=\frac{6-3}{8-4}=0.75in/min$

<em>So London's elevation changes 0.75 inches per minute</em>

<h3>2. During which time period does London's elevation change the fastest?</h3>

The greater the absolute value of the slope of the line the faster London's elevation changes. Since this is a Piecewise function, we must analyze each period.

FIRST:

→ Between 0 minutes and 4 minutes the function is constant, so there is no any change here.

→ Between 10 minutes and 14 minutes the function is constant, so there is no any change here.

→ Between 18 minutes and 22 minutes the function is constant, so there is no any change here.

So the solution is not in these parts of the function.

SECOND:

→ Between 4 minutes and 10 minutes the function has a positive slope, so there is change here.

In the previous item we calculated the slope between 4 and 8 minutes that is the same slope between 4 and 8 minutes and equals 0.75.

→ Between 14 minutes and 18 minutes the function has a positive slope, so there is change here.

Let's take two points here, say, $(16,5) \ and \ (18,3)$

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ But: \\ \\ P(x_{1},y_{1})=P(16,5) \\ P(x_{2},y_{2})=P(18,3) \\ \\ So: \\ \\ m=\frac{3-5}{18-16}=-1 in/min$

As you can see, the absolute value here is 1 that is greater than 0.75.

<em>In conclusion, London's elevation changes the fastest between 14 and 18 minutes</em>

7 0

3 years ago

PLEASE HELP!! DUE SOON!!!

vodomira [7]

Answer:

1. If it is just a line and it has no end points then it means that it is a line if it has endpoints then it's a line segnment.

2. a suplementary angle is equal to 180 degrees and congruent angels are equal angles. (conruent is just a fancy word for equal.)

Step-by-step explanation:

4 0

3 years ago

Use The Scale Factor 1:12 To Find The Missing Dimension

adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

$\frac{1}{12}$

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

$1\ ft=12\ in$

1 inch in the model represent 1 ft in the actual

The scale factor is

$\frac{1}{1}\ \frac{in}{ft}$

therefore

21 ft in the actual represent 21 inches in the model

6 0

3 years ago