Prove that the product of perpendicular .​

Solution given:

The equation of a given line is:

ax²+2hxy+by²=0.......[1]

Its separate equation be

y=m1x.......................[2]

y=m2x......................[3]

length of perpendicular line 2. is:

P2=

Similarly:

length of perpendicular line 3 is:

P3=

Now

their product will be

P2*P3=*

=

=

=

=we have

m1m2=

m1+m2=

substituting value

we get:

=

taking lcm we get

=

=

Proved:

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.