3 years ago

6 music CDs to 8 DVDs, 18 music CDs to 24 DVDs. Determine whether the ratios are equivalent. Show your work

1 answer:

8 0

They are indeed equivalent.
The ratios can be set up as 6/8 and 18/24.
Once simplified, both of these ratios become 3/4, and are therefore equivalent.

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2 years ago

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3 years ago

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

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Answer:

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

Step-by-step explanation:

We use the section formula:

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

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We substitute the values to get:

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