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vovikov84 [41]
2 years ago
10

What is the slope of the line that contains the points (-1, 2) and (3, 3)?

Mathematics
1 answer:
sweet [91]2 years ago
7 0

Answer:

\text Slope = \frac{1}{4}

Step-by-step explanation:

the slope of the line that passes through the points

\large A\left( x_{1},y_{1}\right)  \text{and} \  B\left( x_{2},y_{2}\right)  

\large \text{slope} =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

the slope of the line that contains the points (-1, 2) and (3, 3) is :

\Longrightarrow \text{slope} =\frac{3-2}{3-\left( -1\right)  }= \frac{1}{4}

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Law Incorporation [45]

Answer:

Multiply:

(x+y)by (x+y)

: \implies(x + y)(x + y)

: \implies \: x(x + y) + y(x + y)

: \implies {x}^{2}  + xy + xy +  {y}^{2}

: \implies{x}^{2}  + 2xy +  {y}^{2}

Multiply:

a+b \:  by  \: a^2-b^2

: \implies( {a}^{2}  +  {b}^{2} ) \times (a + b)

: \implies \:  {a}^{2} (a + b) -  {b}^{2} (a + b)

: \implies \:  {a}^{3}  +  {a}^{2} b -  {ab}^{2} -  {b}^{3}

Multiply:

(a+5) by (a^2-2a-3)

: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }

: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)

: \implies(a \times  {a}^{2}  - a \times 2a - a \times 3) + (5 \times  {a}^{2}  - 5 \times 2a - 5 \times 3)

: \implies{a}^{3} -  {2a}^{2} - 3a + 5 {a}^{2}   - 10a - 15

: \implies{ {a}^{3} +  {3a}^{2}   - 13a - 15}

Multiply:

(a^2-ab+b^3) by (a+b)

: \implies{(a + b) \times ( {a}^{2}  - ab +  {b}^{3} )}

: \implies \: a( {a}^{2} - ab +  {b}^{3}) + b( {a}^{2}  - ab +   {b}^{3}  )

: \implies {a}^{3} -  {a}^{2} b + a {b}^{3}  + {a^2b} -  {ab}^{2}  +  {b}^{4}

: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4}  }

Step-by-step explanation:

\blue{ \frak{Seolle_{aph.rodite}}}

7 0
2 years ago
4. Find the distance between the two points. Round to the nearest tenth if necessary.
Archy [21]

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

Distance = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>

<em>Distance = \sqrt{((-2)-(3))^{2} + ((-1)-(5))^{2} }</em>

<em>Distance = \sqrt{61}</em>

<em>Distance = 7.8102 units</em>

To the nearest tenth, Distance = 7.8 units

3 0
3 years ago
30-[(9x2)-(3x4)] numerical expression ;)
alex41 [277]
30-[(9x2)-(3x4)]
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4 0
3 years ago
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bogdanovich [222]
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7 0
3 years ago
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
lisabon 2012 [21]

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

First term = 65,536

\texttt{Common ratio = }\frac{1}{2}

Now we need to find which term is 1 in this GP.

N th term of GP is given by

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Substituting

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Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

3 0
3 years ago
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