The length of the first cable is 30 feet and the length of the second cable is 46 feet. The angle formed by the pole and the first cable is 40°. The angle formed by the pole and the second cable is 60°. Label the diagram. Then calculate the height of center pole and the distance between the two stakes. Round your answers to the nearest foot. Height of center pole = Distnace between two stakes =​

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

is there a question here?

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.