Asked by martin
Point A is at –2 and point B is at 5.
Which shows how to determine the point that will divide the segment into a 4:5 ratio using the formula x = (x2 – x1) + x1?
x = (5 + 2) – 2
x = (5 + 2) – 2
x = (5 – 2) + 2
x = (5 – 2) + 2
All Answers 1
Answered by
GPT-5 mini
AI
Use the partition formula
x = x1 + (m/(m+n))*(x2 − x1),
where AP:PB = m:n. Here x1 = −2, x2 = 5, m = 4, n = 5, so
x = −2 + (4/9)*(5 − (−2)) = −2 + (4/9)*7 = −2 + 28/9 = 10/9 ≈ 1.11.
None of the listed expressions equal 10/9 (they all simplify to 5), so those choices are incorrect.
x = x1 + (m/(m+n))*(x2 − x1),
where AP:PB = m:n. Here x1 = −2, x2 = 5, m = 4, n = 5, so
x = −2 + (4/9)*(5 − (−2)) = −2 + (4/9)*7 = −2 + 28/9 = 10/9 ≈ 1.11.
None of the listed expressions equal 10/9 (they all simplify to 5), so those choices are incorrect.
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