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RoseWind [281]
3 years ago
11

52. Which pair of points represent a reflection

Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0
I think the answer is c.
Zinaida [17]3 years ago
4 0

Answer:A

Step-by-step explanation:

Because if you plot it (-3,-5) is in quadrant 3 and (3,-5) is in quadrant 4 which is a reflection on the y-axis

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option: (a),(b),(c)

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with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

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