Evaluate 3(4-2)^2 :) :)
1 answer:
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Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
<u>(5, -4)</u>
- x₁ = 5
- y₁ = -4
<u>(-13, 12)</u>
- x₂ = -13
- y₂ = 12
Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
Therefore, let's substitute these values.
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.
Answer: B
Look At the pictures Please. :)
I graphed your points so you can see it visually. Look through all the pictures they show my process.
Look At the pictures Please. :)
I graphed your points so you can see it visually. Look through all the pictures they show my process.
Answer:
x=-1
y=15
Step-by-step explanation:
This works because completing the square is essentially demonstrating what g(x) - where g(x) in this case = x^2 - would have to be translated by to give the function you have.
So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.
