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1 year ago

9th Grade Geometry Describe and correct the error in finding the length of line segment AB

Mathematics

1 answer:

Nookie1986 [14]1 year ago

4 0

The correct option regarding the error in calculating the length of segment AB is given as follows:

There should have been a subtraction instead of an addition, and the correct length is of 3.5 units.

<h3>Where are points A and B?</h3>

Researching the problem on the internet, it is found that points A and B are on a number line, with coordinates given as follows:

A: 1.

B: 4.5.

<h3>What is the length of the segment?</h3>

The length of the segment is the absolute value of the subtraction of the endpoints, hence:

L = |4.5 - 1| = |1 - 4.5| = 3.5.

The error is that:

There should have been a subtraction instead of an addition, and the correct length is of 3.5 units.

More can be learned about the length of a segment at brainly.com/question/7694028

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Step-by-step explanation:

That is correct.

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3 years ago

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3 years ago

Quadratics need help making parabola

timama [110]

Answer:

The equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ , whose real vertex is $(x,y) = (2, -5.333)$ , not $(x,y) = (2, -5)$ .

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

$(x_{1}, y_{1}) = (-2, 0)$ , $(x_{2}, y_{2}) = (6, 0)$ , $(x_{3}, y_{3}) = (0, -4)$

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

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$36\cdot a + 6\cdot b + c = 0$ (2)

$c = -4$ (3)

The solution of this system is: $a = \frac{1}{3}$ , $b = - \frac{4}{3}$ , $c = -4$ . Hence, the equation of the parabola is $y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4$ . Lastly, we must check if $(x,y) = (2, -5)$ belongs to the function. If we know that $x = 2$ , then the value of $y$ is:

$y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4$

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2 years ago