<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>
perimeter =48
18+18+6+6=48
x-12=x/3
Multiply both sides by 3
3x-36=x
3x=x+36
2x=36
x=18
18-12=18/3
6=6
One side 18 another side 6
Answer:100
Step-by-step explanation:
2 x 2.4=4.8
4.8+3.2=8.0
15.5 x 8.0=124.00
124.00-24=
100
Answer:
It would take 50 minutes
Step-by-step explanation:
<u>Distance, velocity and time</u>
The speed is the rate at which the distance changes with respect to time. If x is the distance, t is the time, the speed v can be obtained by
We know the trip takes 40 minutes when traveling at 50 miles/hour. The distance can be determined by isolating x in the above equation
The given time is expressed in minutes, we need to convert it to hours. 40 minutes is 
. The distance is
If the speed was 40 miles/hour, the same distance would be covered in t hours, taken from the above equation as
Step-by-step explanation:
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