anonymous
  • anonymous
I have a question but I am stuck on the factoring 1/2*b*(h+7)=22
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Define 'factoring' - because that isn't something I'd look to factorise.
anonymous
  • anonymous
1/2*b*(h+7)=22 1/2(b^2+h7)=22 2*1/2(b^2+h7)=2*22 b^2+h7=44 b^2+h7-44=44-44 b^2+h7-44=0 (b- )(h+ )= this is where I am lost
anonymous
  • anonymous
u cant solve for b and h in same equation

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anonymous
  • anonymous
Here I will give you the question. The base of a triangle is 7cm greater than the height. The area is 22 cm^2. I have to find the height and base of the triangle.
anonymous
  • anonymous
Define b = h+7 (or h = b-7) , and go from there.
anonymous
  • anonymous
i.e. you should be solving: \[\frac{1}{2} \cdot h \cdot (h+7) = 22 \text{ or } \frac{1}{2} \cdot b \cdot (b-7) \]
anonymous
  • anonymous
The last one =22 too :@
radar
  • radar
Post the quadratic equation you get when you follow through with INewton's suggestion.
radar
  • radar
My suggestion is to use the first one:\[(1/2) \times h \times(h + 7)=22 cm sq\]
anonymous
  • anonymous
1/2*h(h+7)=22 1/2(h^2+h7)=22 2*1/2(h^2+h7)=2*22 h^2+h7=44 h^2-h7=44=44-44 h^2+h7-44=0 h=9 b=35
radar
  • radar
\[h ^{2}=7h-44=0\] is correct. Which method did you use to get the values of h? quadratic formula, or factor method?
radar
  • radar
\[h ^{2}+7h-44=0\] I meant to type sri
radar
  • radar
which method did you use to get 9 for h??
anonymous
  • anonymous
i think factor
radar
  • radar
9 doesn't go into 44 so something went wrong. Factor is the way to go. That equation will factor beautifully. Do you need some guidance in factoring that equation?
anonymous
  • anonymous
yes please
radar
  • radar
Well we are in luck in that the coefficient of h^2 is 1. Also we need to find to factors of 44 which will when combined equal 7. We have a hint since 44 is negative, one of these factors will positive and the other negative. Do you follow so far?
radar
  • radar
It will start looking like this: (h- ?) (h +?) the ?*?=-44 and ?+?=-7
radar
  • radar
Any questions??? so far.
radar
  • radar
leahpl81872 can you think of two numbers when multiplied equal -44 and when added =+7 ? It is important cause one of these numbers is your answer!
anonymous
  • anonymous
11 & 4
radar
  • radar
Right on!! (h+11)(h-4)=0
radar
  • radar
which one do you think is the answer? the -11 or the 4 ???
anonymous
  • anonymous
4
radar
  • radar
very good, now remember the base was equal to the height + 7 cm, so what is the base?
anonymous
  • anonymous
11
radar
  • radar
Correcto, you seem to have a handle on this problem, good luck.
anonymous
  • anonymous
thank you very much
radar
  • radar
No problem, and INewton's input was helpful.

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