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Drupady [299]
3 years ago
5

Find the equation in slope-intercept form that describes a line through (–1, 1) and (2, 3)

Mathematics
1 answer:
Butoxors [25]3 years ago
5 0

Answer:

  y = 2/3x + 5/3

Step-by-step explanation:

The slope of the line is ...

  slope = (change in y)/(change in x) = (3-1)/(2-(-1)) = 2/3

Then the point-slope form of the desired line can be written ...

  y = m(x -h) +k . . . . . slope m through point (h, k)

  y = 2/3(x +1) +1 . . . . slope 2/3 through point (-1, 1)

  y = 2/3x + 5/3 . . . . . . simplify to slope-intercept form

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andrew11 [14]

Answer:

1. new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16

3. The new area is 1/9 of the original area.

Step-by-step explanation:

1. side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.

3. Let the length of the rectangle be x

Let width of rectangle be y

Area of rectangle =  L*W

Now Each side length of the rectangle is multiplied by 1/3

So, new area =  (1/3)L * (1/3)W

=(1/9)LW

So, the new area is 1/9 of the original area.

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vichka [17]

Answer:

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Step-by-step explanation:

I checked it and it’s right hope this helps!!

6 0
2 years ago
(x2 + 4)(x2 - 4) please help
VikaD [51]

(x^{2} + 4)(x^{2} - 4)

To solve this question you must FOIL (First, Outside, Inside, Last) like so

First:

(x^2 + 4)(x^2 - 4)

x^2 * x^2

x^4

Outside:

(x^2 + 4)(x^2 - 4)

x^2 * -4

-4x^2

Inside:

(x^2 + 4)(x^2 - 4)

4 * x^2

4x^2

Last:

(x^2 + 4)(x^2 - 4)

4 * -4

-16

Now combine all the products of the FOIL together like so...

x^4 - 4x^2 +4x^2 - 16

Combine like terms:

x^4 - 4x^2 +4x^2 - 16

- 4x^2 +4x^2 = 0

x^4 - 16 <<<This is your answer

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3 years ago
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Bumek [7]

Answer:

160

Step-by-step explanation:

Muliply both sides by 20/3 to get e=20/3*24=160

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Vsevolod [243]

An equal mass of silver will displace a different volume of fluid than that displaced by gold.

<h2>Archimedes principle</h2>

According to the Archimedes principle, when an object is partially or completely immersed in water, the object will experience a force that displaces its own weight of fluid.

Therefore, when the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver, we can know that by observing the volume of water displaced in each case. An equal mass of silver will displace a different volume of fluid than that displaced by gold.

Learn more about Archimedes principle: brainly.com/question/13106989

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