Step-by-step explanat f....k u blablablaaaaaaaaaaaaaasaasaassaa
<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>
The ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
<h3>Similarity theorem of triangles</h3>
For two triangles to be similar, the ratio of the measure of similar sides of the triangle must be equal to a constant known as a scale factor.
From the given figures, the expression that can be used to prove that the triangles are similar is as shown;
UV/ZY = WU/ZX = WV/XY
Hence the correct option is to show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Learn more on similar triangles here; brainly.com/question/11920446
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Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
The answer would probably be 16 meters
