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Step2247 [10]
2 years ago
9

Write the equation of the line that passes through the points (2, 1) and (-8,-8).

Mathematics
1 answer:
nordsb [41]2 years ago
8 0

Answer:

y = 0.9x - 0.8

Step-by-step explanation:

First you use the formula m = (y2-y1) / (x2-x1)

Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)

m = -9/-10 = 9/10

Now u use the point slope formula, (y - y1) = m(x - x1)

Sub in the points and you get (y - 1) = 9/10 (x-2)

Expand it out to get y - 1 = 9/10x - 18/10

multiple everything by 10 = 10y - 10 = 9x -18

make y the subject, 10y = 9x - 8

y = 0.9x - 0.8

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) Picture frames are produced such that the four sides of a picture frame consist of two pieces from a population whose mean len
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Answer:

The mean perimeter of frame = 38 cm

Step-by-step explanation:

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However, we a given the mean perimeter of the frame which are:

32 and 44. We can either choose to say; each sides is (32 by 32) and (44 by 44). Or we consider it in mean/average term as given: (32 by 44).

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Mean perimeter = (32+32+44+44)/4 = 38 cm.

Case 2: We can simply say:

Mean perimeter = (32 + 44)/2 = 38 cm.

Graphically: Assuming that the frame is given below

                     32 cm

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

         |                                      |

         |                                      |

44 cm|                                      | 44 cm

         |                                      |

         |                                      |

         |                                      |

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

                       32 cm

The mean of upper frame/bars = 32 cm

The mean of side frame/bars  =  44 cm

Hence, the mean of the perimeter = (32 + 44)/2 = 38 cm

OR,

we take the sum of all the sides (32 + 44 + 32 + 44) and divide by total number of sides (4). That is;

The mean of the perimeter = (32 + 44 + 32 + 44)/4 = 38 cm

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