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.
The probability of drawing a blue card is equal to the quotient when the number of blue cards is divided by the total number of cards. This is, 16/38 which is also equal to 8/19. Thus, the probability of drawing a yellow card is 8/19. The answer is letter C.
Hi,
L = (1/6)x - 1
P = 2x + 2L = 2x + (2/6)x - 2
P= (7/3)x - 2
x being the width.
Hope this helps!
Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is

It was given that, the area of this base is 81 in²

Take positive square root:
