Answer:
18 years
Step-by-step explanation:
let the boy's age my x and mother's age be y
x+y=48
y=3+2x which can also be written as 2x-y=-3
on solving both the equations,
you will get x=15 and y=33
so son's age is 15 years and mom's age is 33 years and the difference between their ages is 18
Let the numbers be x and y. They differ by 46. Then x = y + 46.
Their product is P = xy. Since x = y + 46, P = xy = (y + 46)y, or
P = y^2 + 46y. You could graph this and then identify the coordinates of the vertex, which would give you the minimum value of P.
Or you could differentiate P(y) with respect to y, set the result = to 0, and solve for y:
2y + 46 = 0; y = -23. x = y + 46, or +23.
The vertex of the graph of this parabola represents the minimum value of the product P. It is (23, 46), and 46 is the smallest possible product here.
Area= r*r*π (π ≈ 3.14)
⇒ Area= 4*4* π= 50.265
The area of the circle is 50.265~
Answer:
"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com
A log is a pice of wood that comes from a tree
