The answer to the question
Supposse that the distance from the point
to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have

cancel the square root and the
's, and then expand the parenthesis to obtain

then, simplifying we obtain

therfore we must have

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points:
. The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.
I believe the appropriate volume is 160.
The approximate distance between point p and q are 5.1 so the answer is D.
Answer:
John’s age is 8 years
Step-by-step explanation:
Let
x -----> John’s father's age
y -----> John’s age
z -----> John’s sister's age
we know that
-----> equation A
-----> equation B


-----> equation C
Substitute equation A and equation B in equation C and solve for y

Multiply by 2 both sides to remove the fraction



<em>Find the value of x</em>
<em>Find the value of z</em>

therefore
John’s father's age is 40 years
John’s age is 8 years
John’s sister's age is 4 years