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Leya [2.2K]
3 years ago
5

Can someone please answer all of the questions?

Mathematics
2 answers:
In-s [12.5K]3 years ago
7 0
6F 7T 8F 9F there :D
Tema [17]3 years ago
4 0
Statement
1. <1 = <7
4. <4 = <6
Reason
1. Alternate - exterior angles
2. Vertical angles
3. Corresponding angles
4. Alternate - interior angles

6. F - they are vertical angles
7. T
8. T
9. F - They are same-side interior angles that add up to 180 degrees
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A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.
riadik2000 [5.3K]

Answer: 4 units

Step-by-step explanation:

The given position function: x(t)=-t^3+6t^2-9t+42., where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

x(0)=-(0)^3+6(0)^2-9(0)+42=42\\

At, t=4,

x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

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