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Anna35 [415]
4 years ago
6

PLEASE HELP, GEOMETRY. PICTURE ATTACHED

Mathematics
1 answer:
strojnjashka [21]4 years ago
4 0
This is an isosceles triangle, therefore we have two sides with the same length.
This sides are JM and MK; therefore:
JM=MK

JM=9x-18
MK=3x

Therefore:
9x-18=3x
9x-3x=18
6x=18
x=18/6
x=3

Part A:
Answer:  x=3 

Part B:
JM=9x-18=9(3)-18=27-18=9

Answer: JM=9

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\red{\large\underline{\sf{Solution-i}}}

Given that,

\rm \longmapsto\: p(x) =  {x}^{4} -  {x}^{3} -  {x}^{2} - x - 2

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<em>We know, </em>

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

\rm \longmapsto\:p(2)

\rm \:  =  \:  {2}^{4} -  {2}^{3} -  {2}^{2} - 2 - 2

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\rm\implies \:p(2) \:   =  \: 0

<u>So, </u>

\bf\implies \:g(x) \: is \: factor \: of \: p(x)

\red{\large\underline{\sf{Solution-ii}}}

\rm \longmapsto\: p(x) = 2{x}^{3}  +  {x}^{2} - 2x + 1

and

\rm :\longmapsto\: g(x) = x + 1

Now, By using Factor Theorem, Consider

\rm \longmapsto\:p( - 1)

\rm \:  =  \: 2 {( - 1)}^{3} +  {( - 1)}^{2} - 2( - 1) + 1

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\rm \:  =  \: 2

\rm\implies \:p( - 1) \:  \ne \: 0

<u>So, </u>

\bf\implies \:g(x) \: is  \: not \: a\: factor \: of \: p(x)

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