So remember that the distance formula is .
1.
Distance between (4,-5) and (4,-2) is 3 units.
2.
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.
C(25,10)= 3268760
P(25,10)=11861676288000
hope it helps but these are very big numbers :d
Answer:
38 mpg
Step-by-step explanation:
Initial efficiency = 39 mpg
Initial speed = 40 mph
Final speed = 50 mph
The efficiency drop between 40 mph and 50 mph is given by:
The total efficiency drop from 40 to 50 mph is:
Therefore, the efficiency at 50 mph is:
It’s cheaper to take this bus. Compare 166 to 190
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.