Answer:
The coordinates of point B are (6,7).
Step-by-step explanation:
Given points are
Blue = A(-4,8)
Purple = M(1,7.5)
Green = B
It is given that point M is the midpoint of point A and B.
Let coordinates of points are (a,b).
Midpoint of two points is


Coordinates of midpoint are (1,7.5).

On comparing both sides we get


Therefore, the coordinates of point B are (6,7).
Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
Answer:
79
Step-by-step explanation:
60<xy<100
y -2 =x
if it is prime
y cannot be even
so y could be 1,3,5,7,9
x would then be 9,1,3,5,7
but to be between 60 and 100
x must be 7 or 9
so the number must be 79 or 57
57 is not prime so
the number is 79
Since it goes by thousandths (0.001), we can say the values are 2.089 and 2.095.