If lines are parallel, slopes are equal
If lines are perpendicular, the product of the slopes is -1.
The formula to find the slope is
1)
Here P (a, b) & Q(c,d)
Slope of PQ
Also P'(-b, a) & Q'(-d,c)
Solpe of P'Q'
Now slope of PQ × Slope of P'Q'
As the product of slopes = -1.
PQ & P'Q' are perpendicular to each other.
2)
P(w,v), Q(x,z)
Slope of PQ
P'(w+a, v+b), Q' (x+a, z+b)
Slope of P'Q'
Hence slope of PQ = Slope of P'Q'
Hence PQ is parallel to P'Q'
Eating from the inside cover of the first book to the back cover of the last boook, will take the bookworm 25 full books (that is from B to Z) and for book A, the total distance should be subtracted by 1/4 (that is the length of the inside cover)
total distance covered = (2)(25) + (2 - 1/4)
The answer to the equation above is,
total distance covered = 51.75 inches
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The four consecutive odd integers are x, x+2, x+4, x+6
x+x+2+x+4+x+6=216
4x+12=216
4x=204
x=51
they are 51, 53, 55, 57
Answer:
Step-by-step explanation:
We are given that
Side of base=4 cm
l=w=4 cm
Height,h=12 cm
We have to find the rate at which the water level rising when the water level is 4 cm.
Volume of pyramid=
Substitute the value
Differentiate w.r.t t
Substitute the values