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Georgia [21]
3 years ago
12

What is the midpoint of RS with endpoints R (-8, 3) and S (9, – 7)?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

Midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

Step-by-step explanation:

The Coordinates of R = (-8,3)

The Coordinates of S = (9, -7)

Let M be the mid point of M and its coordinates by (x,y)

Now, by mid point formula,

(x,y) = (\frac{x_1  + x_2}{2} ,\frac{y_1 + y_2}{2} )

⇒(x,y) = (\frac{1}{2} ,\frac{-4}{2} ) = (\frac{1}{2} , -2)

So, the midpoint coordinates are (x,y) = (\frac{1}{2} , -2)

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Will, Mike, and Sue went to dinner. Will paid 1/3 of the dinner bill. Micah and Sue paid in the ratio 2:3. If Sue paid $6 more t
raketka [301]
Let's call their parts w,m and s

if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)

Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s

and m=2/3s

Again:
m+s=2w

and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
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we also know that s=w+6 (from the last sentence) so we substitute:

5(w+6)=6w
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so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)

and the total was 30+36+24=90.





3 0
3 years ago
B is the midpoint of segment AC; AB = 8v, and AC = 2v + 42. What is BC?
Alona [7]
2 * AB = AC  
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14v = 42
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v = 3

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3 years ago
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