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RideAnS [48]
3 years ago
5

Which construction is partially represented by the diagram on the baseball field? Explain the next set of instructions to correc

tly finish the construction.

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

Construction of an angle bisector is partially represented by the diagram on the baseball field.

Step-by-step explanation:

Angle bisector of an angle bisects it into two equal angles.

Construction of an angle bisector is partially represented by the diagram on the baseball field.

Consider the figure:

From point B, draw an arc by opening the compass up to the same extend as we did while drawing arc from point A.

Take the point of intersection of both the arcs as C.

Join OC.

OC is the angle bisector of the angle.

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Evaluate the integral. (Assume a ≠ b. Remember to use absolute values where appropriate. Use C for the constant of integration.)
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Answer:

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x + C.</em></u>

Step-by-step explanation:

<u><em>First step we aplicate distributive property to the function.</em></u>

<u><em>5*(x+a)*(x+b)= 5*[x^{2}+x*b+a*x+a*b]</em></u>

<u><em>5*[x^{2}+x*(b+a)+a*b]= f(x), where a, b are constant and a≠b</em></u>

<u><em>integrating we find ⇒∫f(x)*dx= F(x) + C, where C= integration´s constant</em></u>

<u><em>∫^5*[x^{2}+x*(a+b)+a*b]*dx, apply integral´s property</em></u>

<u><em>5*[∫x^{2}dx+∫(a*b)*x*dx + ∫a*b*dx], resolving the integrals </em></u>

<u><em>5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x</em></u>

<u><em>Finally we can write the function F(x)</em></u>

<u><em>F(x)= 5*[\frac{x^{3} }{3} + (a*b)*\frac{x^{2} }{2} + a*b*x ]+ C.</em></u>

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