AnswersGeometryPractice TestQuestion 11
11
practice testMultiple Choice

Practice Test

Question 11 • Geometry

Point A is at negative 2 and point B is at 5 Open image in full-screen view Which shows how to determine the point that will divide the segment into a ratio of 4 to 5 ratio using the formula x is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 ?

Answer
A
x is equal to 4 ninths times open paren 5 minus 2 close paren plus 2
B
x is equal to 4 fifths times open paren 5 plus 2 close paren minus 2
C
x is equal to 4 ninths times open paren 5 plus 2 close paren minus 2
D
x is equal to 4 fifths times open paren 5 minus 2 close paren plus 2

Explanation

Use the given formula with a = 4, b = 5, x₁ = −2, and x₂ = 5. The fraction is a/(a + b) = 4/9, and x₂ − x₁ = 5 − (−2) = 5 + 2; then add x₁, which is −2. This gives x = (4/9)(5 + 2) − 2, matching choice C.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

practice test
16 verified answers

Practice Test

practice test
14 verified answers

Practice Test

practice test
11 verified answers

Practice Test