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WITCHER [35]
3 years ago
15

estamos construyendo una carretera que enlace los puntos a = 12 ,21 y b =(17,23) otro punto se encuentra en c =(3,9) es posible

que una unica carretera permita unir estos tres puntos
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0

Answer:

is not possible

Step-by-step explanation:

<u><em>The question in English is</em></u>

we are building a road that links the points a = (12 ,21) and b =(17,23) another point is in c =(3,9) it is possible that a single road allows to join these three points?

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope ab

we have

a = (12 ,21) and b =(17,23)

substitute

m=\frac{23-21}{17-12}

m=\frac{2}{5}

step 2

Find the slope ac

we have

a = (12 ,21) and c =(3,9)

substitute

m=\frac{9-21}{3-12}

m=\frac{-12}{-9}

simplify

m=\frac{4}{3}

step 3

Compare slopes ab and ac

The slopes are different

That means ----> is not possible that a single road allows to join these three points

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The function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic. Then the quadratic equation is y = -1.25x² + 7.35x + 3.2.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

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(a) A student chose to model the data with the function, y = 0.9286x + 9.0571 . Then the function is not treated as linear because whenever we throw the thing in the air it traces the path of the parabola which is quadratic.

(b) Write a function

We know that the quadratic equation is given as ax² + bx + c = y

This will pass through the points (1, 9.3), (2, 12.9), and (3, 14). Then we have

\rm a + b + c = 9.3  \ \ \  \ \ \ \ ...1\\\\4a + 2b + c = 12.9 \ \  \ ...2\\\\9a + 3b + c = 14 \  \ \ \ \ \ ...3

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a = -1.25, b = 7.35, and c = 3.2

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More about the quadratic equation link is given below.

brainly.com/question/2263981

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So, the possibilities are ...

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The one on your list that is not among these is 5/2.

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