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____ [38]
2 years ago
11

Find the slope of the line shown below

Mathematics
1 answer:
WITCHER [35]2 years ago
5 0

Answer:

\frac{3}{2}

Step-by-step explanation:

From the attached photo, we can deduce:

(2,2) as (x1,y1)

(-2,-4) as (x2,y2)

Slope Formula =

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

Now we can substitute these values into the formula to find the slope.

Slope of line =

\frac{2 - ( - 4)}{2 - ( - 2)}  \\  =  \frac{2 + 4}{2 + 2}  \\  =  \frac{6}{4}  \\  =  \frac{3}{2} (reduced \: to \: simplest \: form)

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The area of a rectangle painiting is given by the trinomial x^2-9x-36. what are the possible dimensions of the painting ? use fa
bagirrra123 [75]
<span> (x + 3) • (x - 12)
</span>

The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span> 

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is  <span> -9 </span>.

<span><span>     -36   +   1   =   -35</span><span>     -18   +   2   =   -16</span><span>     -12   +   3   =   -9   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  3 
                     <span>x2 - 12x</span> + 3x - 36

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (x-12)
              Add up the last 2 terms, pulling out common factors :
                    3 • (x-12)
Step-5 : Add up the four terms of step 4 :
                    (x+3)  •  (x-12)
             Which is the desired factorization

Final result :<span> (x + 3) • (x - 12)</span>
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Answer:

False.

Step-by-step explanation:

X can not be less than 8 and also greater than 8 and the same time.

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