brendaesme

brendaesme

07.12.2020 •

Mathematics

Hey there is a link! It would mean a lot if you would give me the awnsers to these 3 questions! It’s grade 7 math! Thanks, all you need to do is simplify. Have a great day! ( will be marking brainlist!)

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Ответ:

neariah24

26.01.2021

The coordinates of Jedd's house is (-5, 0)

Step-by-step explanation:

Given;

Location of Holli's House = (−1, 4)

Location of fast food restaurant = (−3, 2)

To Find:

The coordinate of Jedd's house.

Solution:

If the distance between the two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is divided by the point (x,y) in the ratio of m : n then

$x=\frac{x_{1}n+x_{2}m}{m + n}$

$y=\frac{y_{1}n+y_{2}m}{m + n}$

Hollis house is located at (-1 , 4)

So, $(x_{1},y_{1}) = (-1 , 4)$

She walks in a straight line to get to Jedds house

The restaurant is located at (-3 , 2) and partitions the way from

(x , y) = (-3 , 2)

The ratio of Hollis house to Jedds house is 1 : 1

(m : n) = 1 : 2

Lets consider that Jedds house is located at $(x_{2},y_{2})$

Then x_2 will be

$-3=\frac{-1(1)+x_{2}(1)}{1+1}$

$-3=\frac{-1 +x_{2}}{2}$

$-3 \times 2=-1 +x_{2}$

$-6 = -1 +x_{2}$

$-6 = -1 +x_{2}$

$-5 = x_{2}$

Now $y_{2}$ will be

$2=\frac{4(1)+y_{2}(1)}{1+1}$

$2=\frac{4+y_{2}}{2}$

$2 \times 2=4+y_{2}$

$4 = 4+y_{2}$

$4 - 4 = y_{2}$

$y_{2} = 0$

∴ The coordinates of Jedd's house is (-5, 0)

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