Answer:
Step-by-step explanation:
eq. of directrix is y-1=0
let (x,y) be any point the parabola.
then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}
squaring
x²-12x+36+y²-4y+4=y²-2y+1
x²-12 x+40-1=4y-2y
2y=x²-12x+39=x²-12x+36+3
(x-6)²=2y-3
Answer:
17 years
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r, compounded n times per year for t years.
Filling in the numbers and solving for t, we find ...
16826.03 = 8534(1 +.04/12)^(12t)
16826.03/8534 = 1.0033333...^(12t)
Taking logs, we have ...
log(16826.03/8534) = 12t·log(1.0333333...)
Dividing by the coefficient of t gives ...
log(16826.03/8534)/(12·log(301/300)) = t ≈ 17.000
It will take 17 years for the account balance to reach $16,826.03.
Answer:
4) x = - 12
5) x = 4
Step-by-step explanation:
4)
Since points T and S are mid points of sides ML and MN of triangle MLN.
Therefore, by mid point theorem,
TS is half of LN
so,
5) In the same way x = 4 will be the correct answer in question number 5.
