Perpendicular lines have negative reciprocal slopes. So if the slope is -2/5...to find the negative reciprocal, " flip " the slope and change the sign.
So we flip -2/5 and we get 5/-2...and now we change the sign...and we get 5/2. So our perpendicular slope will be 5/2.
The correct answer is 47/6 or 7 5/6
To find this we need to first make them improper fractions instead of mixed numbers. You can do this by multiplying the whole number by the bottom (denominator) and adding it to the top (numberator). Then putting it over the bottom again. He's this in action:
-2 1/3
3*2 + 1 = 7
-7/3
So the first term is actually -7/3. Lets do the same for the second.
-10 1/6
6*10 + 1 = 61
-61/10
Now that we have these, we can give them common denominators and complete the action.
-7/3 - (-61/6)
-14/6 + 61/6
47/6 or 7 5/6
Length = l = 3 m ,
Breadth = b = 4 m
Length of the Longest rod placed in
the room = length of the diagonal of the floor
= √ l² + b²
= √ 3² + 4²
= √ 9 + 16
= √ 25
= 5
I hope this helps you.
Since y=7x we can replace the y in the second equation with 7x
-5x+14x=9
x=1
Now plug in to get 7 for y, since 7x=y
Answer: x=1, y=7