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kotykmax [81]
3 years ago
15

Sean is taking some friends on a picnic. They'll need to follow a path to get to the picnic spot. A map of the path is based on

a scale of 1:30,000, in cm.
- If the path is 20cm on the map, how many kilometers is the actual path
Mathematics
1 answer:
Bingel [31]3 years ago
4 0
For every 1 cm on the map, there is 30,000cm in real life. We have 20 cm on the map, so there is 600,000cm on the actual path. Now, we need to convert this to km. There are 100,000cm per kilometer, so in 600,000cm, there are 6km
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What is an equation of the line that passes through the points (-1, 6) and<br> (-1, –5)?
miskamm [114]

Answer: 11x + 11

Step-by-step explanation:

This is two points equation. It could be done in various ways depending on the level of understanding of the topics. The formula goes thus

y - y₁         y₂ ₋ y₁                           y₂ ₋ y₁

------    =   ----------      or  y ₋ y₁ =    ---------  ˣ  ( x - x₁ )

x - x₁         x₂ ₋ x₁                           x₂ ₋ x₁

Where x₁ = -1, x₂ = -1, y₁ = 6, y₂ = -5. Now substitute for the values in the formula above and solve.

y - 6           -5 - 6       -11             -11

------      =   --------    =  ----      =    -----

x - (-1)         -1 - (-1)      -1 + 1          0

y - 6          -11

------    =    -----

x + 1           0   ,

Now we cross multiply to have a linear equation

0( y - 6 )  =  -11( x + 1 )

0   =   -11x - 11, now multiply by -1

The equation now becomes

11x + 11

   

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Step-by-step explanation:

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