1) slope = (y₂-y₁)/(x₂-x₁)
Let A and B be A(4,-6) and B(0,2) ;
m = [2-(-6)]/[0-4) = (2+6)/(-4) → m = -2
2) Midpoint = value of x of the midpoint = (x₁+x₂)/2
value of y of the midpoint = (y₁+y₂)/2
x(midpoint) = (4+0)/2 → x= 2
y(midpoint) = (-6+2)/2 → y= - 2, so Midpoint M(2,-2)
3) Slope of the perpendicular bisector to AB:
The slope of AB = m = -2
Any perpendicular to AB will have a slope m' so that m*m' = -1 (or in other term, the slope of one is inverse reciprocal of the second, then if m =-2, then m' = +1/2 ; Proof [ (-2)(1/2) = -1]
4) Note that the perpendicular bisector of AB passes through the midpoint of AB or M(2,-2). Moreover we know that the slope of the bisector is m'= 1/2
The equation of the linear function is :
y = m'x + b or y = (1/2)x + b. To calculate b, replace x and y by their respective values [in M(-2,2)]
2= (1/2).(-2) + b → 2 = -1 + b → and b= 3, hence the equation is:
y = (1/2)x + 3
Answer:
8
im pretty sure :))
Step-by-step explanation:
I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
Answer:
457.45
Step-by-step explanation:
Calculators are magic.. but seriously its hard to explain if you match up your dots (.) you just simply subtract 48.69
First, we determine the difference in the times between New York City and Athens. From the given above, we can conclude that the difference between the times is 7 hours. Then, we determine the time in New York when the arrived in Athens.
Time in New York : 7:30 am + (13 hours + 45 minutes)
= 21:15 or 9:15 pm of Wednesday
Then, we translate this to time in Athens by adding the difference to our answer above,
Time in Athens: 9:15 pm Wednesday + 7 hours
= 4:15 am of Thursday
Thus, the answer is letter C.
