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yulyashka [42]
3 years ago
9

Six lines are drawn in the coordinate plane below.

Mathematics
1 answer:
Simora [160]3 years ago
5 0

Answer:

PQ

SR

PR

Step-by-step explanation:

they are all going down while the others rise

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The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre
Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.  

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

=x-\frac{38}{100} \times x

=\frac{100 x-38 x}{100}

=\frac{62 x}{100}=\frac{31 x}{50}

So current population is \frac{31 x}{50}

Equating above expression to the given value of current population, we get

\frac{31 x}{50}=27900

x=\frac{27900 \times 50}{31}

x=45000

Hence previous population of city was 45000.

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3 years ago
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:

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