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3 years ago

The graph above can be extrapolated to determine:

Mathematics

2 answers:

madam [21]3 years ago

5 0

The correct answer is ABSOLUTE ZERO. I just took the quiz myself and got it right.

dusya [7]3 years ago

3 0

We can see that

when it is extrapolated

The curve is going downward

and it is till it touches temperature axis

so, we can find point there

It intersects at temperature =-280C

Since, it is x-intercept

so, y will be 0 at that point

so, Volume will be 0 when temperature is -280C

and this is absolute zero definition of volume function

so, Absolute zero.........Answer

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What is the area of the piece of red paper after the hole for

MakcuM [25]

Answer:

$\large\boxed{\large\boxed{47unit^2}}$

Explanation:

The complete question is:

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

<h2>Solution</h2>

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

1. Area of the big rectangle

Vertices:

(- 4, 4)
(4, 4)
(4, -4)
(-4, -4)

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

$4-(-4)=4+4=8$

The area of this square is $(8unit)^2=64unit^2$

2. Area of the small square

Vertices:

(-3, -2)
(- 2, 2)
(2, 1)
(1, -3)

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}$

The area is:

$(\sqrt{17}unit)^2}=17unit^2$

3. Area of the piece of red paper after the holw for the photograph has been cut:

Find the difference:

$64unit^2-17unit^2=47unit^2$

7 0

3 years ago

Read 2 more answers

Solve for x. 2(4x - 1) + 3(3 - 2x) = 0 x = -4 x = -7/2 x = -4/3 x = -7/6

lara [203]

The correct answer: x=-7/2
Hope this help!!!

7 0

3 years ago

Read 2 more answers

How do I simplify 12+2c+6d-8c+d

sveta [45]

Hello there! :)

12+2c+6d-8c+d

Combine like terms:

2c-8c+d+6d+12

-6c+7d+12

Hope this helps!

~Just a determined gal

#CarryOnLearning

$MysteriousNature :)$

3 0

2 years ago

Read 2 more answers

2^x-1=128 show work pls! thank u :)

hichkok12 [17]

Hello from MrBillDoesMath!

Answer:

Take you pick below! (either x 8 or x = 7.01, approx, depending how the question is interpreted)

Discussion:

Interpretation 1

If the question is 2^(x -1) = 128, then as 2^7 = 128,

x-1 = 7 so x = 8

Interpretation 2

If the question is (2^x -1) = 128, then..

2^x = 128 + 1 = 129 =>

log(2^x) = log(129) =>

xlog(2) = log(129) =>

x = log (129) / log2 = 7.01

Regards,

MrB

4 0

3 years ago

The table shows how the time it takes a train to travel between two cities depends on its average speed.

Ivahew [28]

Answer:

$y=\frac{160}{x}$

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed.

function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour

y represents the time

and x represents the average speed

WE know distance = speed * times

LEts find the distance using the table

distance = 32* 5= 160

40*4= 160

50*3.2 = 160

Time = distance / speed

times is y , distance is 160 and speed is x

$y=\frac{160}{x}$

6 0

2 years ago

Read 2 more answers