Hi
312 bolts ⇒ 30 min
260 bolts ⇒ x min
312x = 30·(260)
312x = 7800
x = 7800/312
x = 25 min
Answer: 25 minutes
Answer: aₙ = -12 + 4*n
Step-by-step explanation:
We know that:
a₃ = 0
a₄ = 4
a₅ = 8
a₆ = 12
a₇ = 16
This seems to be an arithmetic sequence.
To test this, we need to calculate the difference between any two consecutive terms in the sequence, and this must be a constant for any pair that we choose.
a₄ - a₃ = 4 - 0 = 4
a₅ - a₄ = 8 - 4 = 4
a₆ - a₅ = 12 - 8 = 4
etc
we can conclude that this is an arithmetic sequence.
The n-th term in an arithmetic sequence, where the increase between consecutive terms is 4, is:
aₙ = aₙ₋₁ + 4.
Another way is:
aₙ = a₀ + n*4.
Where to find a₀, we can start with the value that we know and go back:
a₂ = a₃ - 4 = -4
a₁ = a₂ - 4 = -8
a₀ = a₁ - 4 = -12
Then the n-th term can be written as:
aₙ = -12 + 4*n
Radius = √(7-(-1))² + (8-(-7))² = √8²+15² = √289 = 17
Let the point be (-15,y)
(-15-(-7))² + (y-(-1))² = 17²
⇒ -8² + (y+1)² = 17²
⇒ 64 + (y+1)² = 289
⇒ (y+1)² = 289 - 64 = 225
⇒ y+1 = +15 or -15
⇒ y = +15-1 or -15-1
⇒ y = 14 or -16
T<span>h</span>us, the point can be either (-15,14) or (-15,-16)
Answer:
check the attachment
Step-by-step explanation:
2x - y = - 4
- y = - 4 - 2x
y = 2x + 4
slope of the line = 2 with y - intercept 4
-15.41
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