Answer:
((2a+b)/2 , a/2)
Step-by-step explanation:
The midpoint is the mean/average of both the x and y values.
Our x values are a+b and a
Our y values are a-b and b
The midpoint x value is (a+b + a ) /2 = (2a + b)/2
The midpoint y value is (a-b + b) /2 = (a)/2
The midpoint combines these two values to get ((2a+b)/2 , a/2) as our midpoint
Answer:
<u>Numbers and plot location given below:</u>
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- √15 = 3.9 located between 3.8 and 4.0
- √46 = 6.8 located between 6.7 and 6.9
- √55 = 7.4 located between 7.3 and 7.5
- √60 = 7.7 located between 7.6 and 7.8
- √96 = 9.8 located between 9.7 and 9.9
- √14 = 3.7 located between 3.6 and 3.9
- √22 = 4.7 located between 4.6 and 4.8
- √75 = 8.7 located between 8.6 and 8.9
- √34 = 5.8 located between 5.7 and 5.9
- √57 = 7.5 locate between 7.4 and 7.6
Dy/dx = (ycos(x))/(1 + y²)
(1 + y²)/y dy = cos(x) dx
(1/y + y) dy = cos(x) dx
Integrating:
ln(y) + y²/2 = sin(x) + c
ln(1) + 1/2 = sin(0) + c
c = 1/2
Thus,
ln(y) + y²/2 = sin(x) + 1/2
Answer:
Step-by-step explanation:
4 and a half
Answer:
Step-by-step explanation:
In order to get to choose the song Mark needs to roll a 1 since a 2 is the smallest number already rolled.
<u>Probability of rolling a 1 is:</u>