A midsegment is given by the formula:

Where x1, x2, y1, and y2 correspond to their respective coordinates. We can do the equation:

This gets us a midpoint coordinate of <span>
(1,1)</span>As for distance, it will be found by doing:

We can do the following:



This simplifies to

:)
Answer: 35
Explanation: If patty has $21, and $3 is the price for 5 hat pins, then: 21/3=7, so she can buy 7 packages which cost $3 and contain 5 pins, and because the question asked the number of pins, we will multiply 7 • 5 and that equals 35
Prime factors are multiplying numbers that cannot be divided into smaller numbers.
Let's break down 92.
Divide 92 by 2.
2 x 46.
We can still break this down.
Divide 46 by 2.
2 x 2 x 23.
This is your prime factorization of 92.
I hope this helps!
Considering it's vertex, the quadratic equation that could be represented on the plane is given as follows:
f(x) = (x - 8)² - 6.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the given graph has vertex at (8,-6), hence <u>h = 8, k = -6 and considering a = 1</u> the equation is given as follows:
f(x) = (x - 8)² - 6.
More can be learned about the vertex of a quadratic equation at brainly.com/question/24737967
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