Final Answer:
X = (15 – 2) + 2 determines the point that will divide the segment into a 4:5 ratio using the formula X = (a * x2 – b * xy) + xy. The correct answer is option D) X = (15 – 2) + 2
Step-by-step explanation:
The formula provided to determine the point that will divide the segment into a 4:5 ratio involves evaluating the expression X = (a * x2 – b * xy) + xy. To find the specific point, you'll want to substitute the values from the options provided into this formula.
Upon examining the given options, option D) X = (15 – 2) + 2 stands out as the accurate representation of the formula for dividing the segment into a 4:5 ratio. This choice aligns with the formula requirements, considering the coefficients and variables involved in the expression.
The equation involves manipulating the coefficients a, b, x, and y within the formula to obtain the appropriate point that satisfies the 4:5 ratio division for the segment. Option D) correctly follows the structure outlined in the formula, ensuring the accurate calculation for the desired point.
By applying the values from option D) into the given formula, the calculation results in the point that appropriately divides the segment into a 4:5 ratio, meeting the conditions outlined in the initial question.
Understanding the application of the formula and selecting the correct representation among the options allows for the determination of the point that fulfills the specified ratio division along the segment, which in this case is exemplified by option D).
Careful evaluation of the options in alignment with the provided formula is crucial to arrive at the accurate solution for the division of the segment into the desired 4:5 ratio, as demonstrated by the chosen option D).
The correct answer is option D) X = (15 – 2) + 2