The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)
What is the midpoint?
The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.
Given, 
Let M is a midpoint of AB, then
The midpoint of point AB is M(2.5,5)
Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).
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Answer:
It is A.
Step-by-step explanation:
To solve for b, use the 45-45-90 triangle theorem, in which each of the legs is x, so the legs would be 8. The hypotenuse would therefore be 8√2.
So without further solving the answer is A, since it's the only one with 8√2.
However, I will still solve for A and C. Using the 30-60-90 theorem, we have the sides as x, x√3, and 2x. The second longest side is b. Using this, we find a = 4√6 and c to be 4√2
<h2>1) Plants</h2><h2>2) Animals</h2><h2>3) Humans</h2>
The longer an object, the longer the shadow they cast at a given time of the day and vice versa. This is called direct proportionality. At the same time,
If 15 foot flagpole ---- casts 11 foot shandow
28 foot tree -------- casts ?? foot shadow
The proportion would therefore be:
Length of shadow cast by tree = (28/15)*11 = 20.533 foot.
The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>
The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
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