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givi [52]
3 years ago
9

What is the midpoint of the segment joining the points (4, -2) and (-8, 6)? A. (6,4)

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -8 + 4}{2}~~~ ,~~~ \cfrac{ 6 -2}{2} \right)\implies \left( \cfrac{-4}{2}~~,~~\cfrac{4}{2} \right)\implies (-2~~,~~2)

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4 years ago
The ratios in an equivalent ratio table are 3:12, 4:16, and 5:20. If the first number in the ratio is 10, what is the second num
nekit [7.7K]

Answer:

I believe the answer would be 10/40. First, I simplified all of the given rations. You do this by finding the two numbers greatest common factor. For example, 3/12, 3 goes into 3 once and 3 goes into 12 four times. So that ratio would be 1/4. If you continue the pattern you would get 1/4 for all of them. Therefore, 10/40 would be correct since it's ratio would also be 1/4.

Step-by-step explanation:

4 0
4 years ago
PLS HELP AND ANSWER QUICK PLZ
Lena [83]

Answer:

63

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is staying in a cabin that is 4 mil
Goshia [24]

Answer:

5.54 miles

Step-by-step explanation:

1. Assume she runs up to a point that is x miles to the east of the coral reef:

distance running =

distance swimming =

2. Times:

time= distance / speed

time running =

time swimming =

3. Total time

time running + time swimming:  

             

4. Minimize time

The minimum time is when the derivative of the function of time is zero.

Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:

        

Solve for x:

         

5. Distance the visitor should run to minimize the time

Hence, the visitor should run 5.54 miles.

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3 years ago
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Answer:

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Step-by-step explanation:

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