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amm1812
3 years ago
13

Find one value of xxx that is a solution to the equation (2x+3) 2 −6x−9=0

Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

(2x+3) ^2 −6x−9=0

(2x+3) (2x+3) −6x−9=0

Foil

4x^2 +6x+6x+9-6x-9=0

4x^2 +12x+9-6x-9=0

Combine like terms

4x^2 +6x=0

factor out 2x

2x(2x+3)=0

2x=0  2x+3=0

x=0       2x=-3

              x=-3/2

Answer x=-3/2, 0


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<u>ANSWER TO PART A</u>

The given triangle has vertices J(-4,1), K(-4,-2),L(-3,-1)


The mapping for rotation through 90\degree counterclockwise has the mapping


(x,y)\rightarrow (-y,x)


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ANSWER TO PART B


For a reflection across the y-axis we negate the x coordinates.


The mapping is



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Therefore

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We plot all this point and connect them with straight lines.


See graph in attachment







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