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rodikova [14]
3 years ago
15

How do you find endpoints of a line segment with a given endpoint and midpoint?

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

In order to find the second endpoint or a line segment given the first and the midpoint, you need to realize that the midpoint is an average of the two endpoints. Given that fact, we can derive this formula looking at x values of points A and B with midpoint M. Remember this is only looking at the x values.

(A + B)/2 = M

So if we are looking for A, we can solve for A and use this modified formula.

(A + B)/2 = M

A + B = 2M

A = 2M - B

Now we can do this with the y values of these points as well. We then have the coordinates of both parts of A.

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A line segment has endpoints at (2,10) and (10,2). What are the coordinates of the midpoint of the line segment?
IrinaVladis [17]

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(6,6)

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The midpoint formula is (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ). Substitute (2,10) and (10,2) into this formula and simplify.

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8 0
3 years ago
I want to fined out the digree of polynomial 5 x^4 + 3 x^2 + 1
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4

Step-by-step explanation:

The degree of a polynomial is the highest degree of a monomial contained within the polynomial. The degree of the monomial is the sum of the exponents on the variables. Example, the degree of -4x^6y is 6+1=7.

Example, the degree of 4x^8 is 8.

So the degree of 5x^4 is 4.

The degree of 3x^2 is 2.

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2 years ago
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