The given formula is f(t) = 0.4t
They want to solve for f(10), replace t in the formula with 10"
f(10) = 0.4(10)
Multiply:
f(10) = 4 centimeters.
Husband is in march
wife is after march
we have
b-days are same day
ex march 3 and june 3
also, they fall on the same day of the week
so continuing ex. march 3 wed and june 3 wed
so we just look at the calllendar for days that fall on the same day of the week and have the same nuber and are after march
basically, the easy way to find it is to look at the months and see which months that are after march start on the same day
ex. this year march 1 is on a tuesday
so find other months that start on tuesday
answer is September and December
so the Wife's birthday could be in September or December
AB and BC form a right angle at their point of intersection. This means AB is perpendicular to BC.
We are given the coordinates of points A and B, using which we can find the equation of the line for AB.
Slope of AB will be:

Using this slope and the point (2,1) we can write the equation for AB as:

The above equation is in slope intercept form. Thus the y-intercept of AB is 4/3.
Slope of AB is -1/6, so slope of BC would be 6. Using the slope 6 and coordinates of the point B, we can write the equation of BC as:
y - 1 = 6(x - 2)
y = 6x - 12 + 1
y = 6x - 11
Point C lies on the line y = 6x - 11. So if the y-coordinate of C is 13, we can write:
13 = 6x - 11
24 = 6x
x = 4
The x-coordinate of point C will be 4.
Therefore, the answers in correct order are:
4/3 , 6, -11, 4