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nevsk [136]
3 years ago
13

The original point is (-7, 2), what is the new point after a reflection across the x-axis?

Mathematics
2 answers:
vladimir2022 [97]3 years ago
8 0

Answer: I think the reflection would be (-7,-2)

Step-by-step explanation:

The rule of a reflection over the x-axis is that the x remains the same but the Y becomes it’s opposite (the sign is changed)

katovenus [111]3 years ago
3 0

Answer:

(-7,-2)

Step-by-step explanation:

Graphed on the Cartesian plane.

                     |

  +                 |

-----------------------------------------

  O                |

                     |

+ represents original

o represents reflected.

Both points are at x = -7. When reflected across the x-axis, the point is seems to have moved lower than from its original position.

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Answer:  5) r = 5, 8th term = -78,125

               6) r = 5, 8th term = -312,500

               7) r = 5, {1, 5, 25, 125, 625}

               8) r = 5, {-4, -20, -100, -500, -2500}

<u>Step-by-step explanation:</u>

The explicit formula of a geometric sequence is: a_n=a_1\cdot r^{n-1}, where;

  • n is the number of the term
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5)\ a_n=-5^{n-1}\\.\qquad =-1\cdot 5^{n-1}\quad \rightarrow \quad a_1=-1\ and\ r=5\\\\a_8=-5^{8-1}\\.\quad =-5^7\\.\quad =-78,125\\\\\\6)\ a_n=-4\cdot 5^{n-1}\quad \rightarrow \quad a_1=-4\ and\ r=5\\\\a_8=-4\cdot 5^{8-1}\\.\quad =-4\cdot 78,125\\.\quad =-312,500

7)\ a_1=1\ and\ r=5\\.\quad a_2=1\cdot 5=\boxed{5}\\.\quad a_3=5\cdot 5=\boxed{25}\\.\quad a_4=25\cdot 5=\boxed{125}\\.\quad a_5=125\cdot 5=\boxed{625}\\\\\\\\8)\ a_1=-4\ and\ r=5\\.\quad a_2=-4\cdot 5=\boxed{-20}\\.\quad a_3=-20\cdot 5=\boxed{-100}\\.\quad a_4=-100\cdot 5=\boxed{-500}\\.\quad a_5=-500\cdot 5=\boxed{-2500}\\\\\\

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As we can see that the least count of our observations is upto 3 decimal places hence we have to report a result upto only 3 decimal places thus we need to round off the fourth decimal place thus the digit shall be increased by 1 since we have to drop off 5 and the digit before 5 is 7 which is an odd number.

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Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

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