Solving this problem actually requires us the use of the
distance formula of point to a line.
The formula is:
distance = | a x + b y + c | / sqrt (a^2 + b^2)
So we are given the equation:
y = 2 x + 4
rewriting:
<span>y – 2 x – 4 = 0 -->
a = -2, b = 1, c = -4</span>
We are also given the points:
(-4, 11) = (x, y)
Using the distance formula at points (x, y):
distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 +
(1)^2]
distance = 15 / sqrt (5)
distance = 6.7
<span>So the tree is about 6.7 ft away from the zip line.</span>
Answer:the uncle is 54 years old.
The woman is 18 years old
Step-by-step explanation:
Let x represent the age of the uncle.
Let y represent the age of the woman that he married.
In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that
x = 3y
He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that
x + 18 = 2(y + 18)
x + 18 = 2y + 36 - - - - - - - - - - 1
Substituting x = 3y into equation 1, it becomes
3y + 18 = 2y + 36
3y - 2y = 36 - 18
y = 18
x = 3y = 3 × 18
x = 54
Answer: katrina will pay less interest on the 8-year non subsidized student loan
The total interest paid on the non-subsidized loan is USD 8,959
The total interest paid on the subsidized loan is USD 11,520
Step-by-step explanation:
Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520
For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years
