10/60= 1/6
p(event)= # of ways an event can occur/sample space zice(the number of possible outcomes)
No
1. Vertical 6, horizontal 10
6/10 = 3/5 slope
2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5
3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5
Answer:It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.
Step-by-step explanation:
(4x-3y)^2(4x-3y)
=(16x^2-24xy+9y^2)(4x-3y)
=64x^3-96x^2y+36xy^2-48x^2y+72xy^2-27y^3
=64x^2-144x^2y+108xy^2-27y^3
Depth of Hank descends = The point he reached - the point where he worked initially
= 57 - 10
= 47 ft
Hence, Hank descends 47 ft.