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joja [24]
2 years ago
9

What is the slope of the line shown?

Mathematics
1 answer:
Sever21 [200]2 years ago
5 0

Answer:

Slope = -3

Step-by-step explanation:

<u>Slope formula:</u>

\frac{y2}{x2}  -  \frac{y1}{x1}  = m

m = slope.

<u>Substitute the </u><u>point</u><u> </u><u>values</u><u> </u><u>given</u><u> </u><u>into the formula</u><u>:</u>

\frac{2}{2}  -  \frac{8}{0}  = ?

<u>Solve:</u>

\frac{2}{2}  -  \frac{8}{0}  =  \frac{ - 6}{2}  =  - 3

The slope of your line is -3.

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2x^2-12x-32=0 solution
Charra [1.4K]

Answer: x=−2 or x=8

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+2)(x−8)=0

Step 2: Set factors equal to 0.

x+2=0 or x−8=0

x=−2 or x=8

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2 years ago
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He spent 3/4 of his dollar.

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How do you evaluate<br> lim(x-&gt;0) sin(9x)/6x?
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Hello,
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6 0
3 years ago
How many strings can be formed by ordering the letters MISSISSIPPI which
Mazyrski [523]

Answer:

<em>1680 is the answer.</em>

Step-by-step explanation:

Here, we have 11 letters in the word <em>MISSISSIPPI.</em>

Repetition of letters:

M - 1 time

I - 4 times

S - 4 times

P - 2 times

As per question statement, we need a substring MISS in the resultant strings.

So, we need to treat MISS as one unit so that <em>MISS always comes together in all the strings</em>.

The resultant strings will look like:

<em>xxxxMISSxxx</em>

<em>xxMISSxxxxx</em>

<em>and so on.</em>

After we treat <em>MISS </em>as one unit, total letters = 8

Repetition of letters:

MISS - 1 time

I - 3 times

S - 2 times

P - 2 times

The formula for combination of letters with total of <em>n </em>letters:

\dfrac{n!}{p!q!r!}

where <em>p, q</em> and <em>r</em> are the number of times other letters are getting repeated.

<em>p = 3</em>

<em>q = 2</em>

<em>r = 2</em>

<em></em>

So, required number of strings that contain MISS as substring:

\dfrac{8!}{3!2!2!}\\\Rightarrow \dfrac{40320}{6\times 2 \times 2}\\\Rightarrow 1680

So, <em>1680 is the answer.</em>

3 0
2 years ago
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