H(x)= (x−5) 2 +4(x−5)+4 1 space, h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, left parenthesis, x, minus, 5, right parenthesis, start superscript, 2, end superscript, plus, 4, left parenthesis, x, minus, 5, right parenthesis, plus, 4, end fraction for what value of xxx is the function hhh above undefined?

At the value of x = 3 the function H(x) is undefined.

Given :

Solution :

We know that for the values of x where denominator is zero the function H(x) is not define.

At x = 3 the function H(x) is undefined.

For more information, refer the link given below

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there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,