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Ierofanga [76]
3 years ago
9

Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t

o GH is 2 : 1
Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1

We substitute the values to get:

G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)

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mr Goodwill [35]
Option B is a better option.

Step by step:

I divided 40/6.29 and got about 6.3.

I divided 24/3.89 and got about 6.1.

Which is less, 6.3 or 6.1?
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2 years ago
Write an equation in point-slope form and slope-intercept form for each line: Passes through (3,-6) and (-1,2) 
ratelena [41]
Slope intercept form is y=m(x)+b
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-6-2. 3+1
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3 years ago
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Step-by-step explanation:

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<em>Hope this helps u :)</em>

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2 years ago
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Step-by-step explanation:

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