aaronmills121806
aaronmills121806 aaronmills121806
  • 17-05-2022
  • Mathematics
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If h and j are positive, (h+j)2 = 73 and h2 +j2 = 51, what is hj?

Respuesta :

Hrishii
Hrishii Hrishii
  • 17-05-2022

Answer:

[tex]hj = 11[/tex]

Step-by-step explanation:

  • [tex](h+j)^2=73,\:\: and\:\: h^2+j^2 =51[/tex] (Given)

  • [tex](h+j)^2 = h^2+j^2 +2hj[/tex]

  • [tex]\implies 73= 51 +2hj[/tex]

  • [tex]\implies 73- 51 =2hj[/tex]

  • [tex]\implies 22 =2hj[/tex]

  • [tex]\implies hj = \frac{22}{2}[/tex]

  • [tex]\implies hj = 11[/tex]
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