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____ [38]
3 years ago
15

What has a graph that passes through the point (-4,2) and has a slope of 9/2?

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0
By using the equation y-y1=m (x-x1) you can plug in your coordinates(2 into y1,-4into x1) and your slope (9/2 in for m) you get your equation y-2=9/2 (x+4) this is the equation of a line that has a slope of 9/22nd and passes through the point (-4,2)
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Scrat [10]

Answer:

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Step-by-step explanation:

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Suppose that 6 people sitting in a enclosed room are each generating about 400 BTUs of body heat per hour. If the room is 20 ft
Crazy boy [7]

Answer:  B) 4 BTUs/ft^3

Step-by-step:

For a cuboid of length L, width W and height H, the volume is:

V = L*W*H

In this case, we have:

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W = 15ft

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Then the volume of the room is:

V = 20ft*15ft*10ft = 3000 ft^3

Now we have 6 people, and each generate 400 BTUs per hour.

Then in total, they generate:

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2400 BTUs per hour.

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4 years ago
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faltersainse [42]

we have

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

<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

0=-2 ------> is not true

the point (0,0) is not a solution

therefore

The line does not pass through the origin

<u>case C)</u> The line passes through the point  (0,-2)

The statement is True

Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

-2=-2 ------> is true

the point (0,-2) is a solution

therefore

The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

The statement is False

Because, the slope of the line is m=\frac{1}{3}

<u>case E)</u> The y-intercept of the line is 2

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we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


5 0
4 years ago
Read 2 more answers
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