Solving for the midpoint:
x - coordinate: (7.6 + 4.6)/2 = 6.1
y - coordinate: (10.1 + 3.1)/2 = 6.6
Midpoint: (6.1 , 6.6)
Solving for the distance:
Distance formula: sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
D = sqrt( (7.6 - 4.6)^2 + (10.1 - 3.1)^2 <span>)
D = sqrt( 3^2 + 7^2)
D = sqrt(58)
D = 7.62 units
Distance = 7.62 units</span>
Answer:
C.
Step-by-step explanation:
<span>There are 24 who like both rock and country. There are 8 who like all 3 types, and these eight have been counted under the 24. This means that the number who like rock and country but not jazz is 24 - 8 = 16.
We are given a total of 155 who like country. We subtract the 16 who like both rock and country, and are left with 139 people who like country but not rock. (It does not matter whether they like jazz or not).
The probability is 155 out of the total of 500, so 155/500 = 31/100 = 0.31.
</span>
Answer:
25
Step-by-step explanation:
If it gives a result of -4 then our equation will have .... = -4
If we subtract 9 from the quotient of a number and 5 we have x/5 - 9
Our equation is:
x/5 - 9 = -4 add 9 to both sides
x/5 = -4 + 9
x/5 = 5 multiply both sides by 5
x = 5(5)
x = 25
Check: 25/5 - 9 = 5-9 = -4
Answer checks as correct from information given
We know that domain of log(x) is ∀ x>0.
=>
domain of log(7x) is also ∀ x>0, or (0,∞) in interval notation.