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:

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)