Answer:
x = -2
Step-by-step explanation:
You would start by figuring out the distance the turtle swims every second by dividing 24 by 16.
24➗16=1.5
From this we can take the numbers from either T: 1, ___, 24, 45 or D: ___, 10, 16, ___ to figure out the blank spaces for the other using multiplication or division. Divide T by 1.5, or multiply D by 1.5 to find the other
T: 1, 15, 24, 45
D: 1.5, 10, 16, 30
Let's represent h with the number of hours:
15h ≥ 200
h ≥ 200/15
h ≥ 40/3
h ≥ 13 1/3
He has to work at least 13 1/3 hours.
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.
(x +4)² = (2x -1)(2x -1 +9)
0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)
0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)
This has solutions x = -4 and x = 2. Only the latter works in this geometry.
x = 2
