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Ne4ueva [31]
3 years ago
5

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

ctoring
Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
<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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2 years ago
Solve for p: 9(p-4)=-189(p−4)=−18
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2 years ago
The blue team walks 5 miles the first hour and 2 miles an hour after that. How far will they walk in 4 hours?
denis-greek [22]

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  11 miles

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After the first hour, they walk 3 more hours at 2 miles per hour. So, the total distance is ...

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3 years ago
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A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant​ rate, how long does i
Novosadov [1.4K]

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\frac{4}{5} hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths ​-mile state fair​ race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

We will equate both speeds as:

\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}

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Cross multiply:

13\cdot 10\cdot x=13\cdot 4\cdot 2

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Therefore, it will take \frac{4}{5} hour to complete 1\frac{3}{10} mile state fair​ race.

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3 years ago
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