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.
Answer:
<u>Length of 1 piece= Length of total divided by 8</u>
Step-by-step explanation:
Length of total= 5.24 feet long
Width of total= 1.34 feet wide
Width is divided by 1 line so, there are 2 parts.
Width= 1.34 divided by 2
Width= 0.67 feet wide
Length is divided by 7 lines, so there are 8 parts.
Length= 5.24 divided by 8
Length=0.655 feet long
They are asking for formula to find the length of each piece
<u>Length of 1 piece= Length of total divided by 8</u>
<u></u>
Hope that helps!
Answer:
The cost store owner pay for the pair of jeans is <u>$42</u>.
Step-by-step explanation:
Given:
A store owner uses a selling price of 125% of the cost of an item.
If a pair of jeans has a sales price of $52.50.
Now, to find the cost price of the store owner pay for the pair of jeans.
Let the cost price of jeans be 
Sell price of jeans = 
Now, to get the cost price of store owner pay for the pair of jeans:
<em>As given the</em><em> </em><em>store owner uses a selling price of 125% of the cost of an item.</em>
According to question:



<em>Dividing both sides by 1.25 we get:</em>

<em>The cost price of jeans = $42.</em>
Therefore, the cost store owner pay for the pair of jeans is $42.
Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
- Segment AB: 10 cm
- Midpoint of AB: 10/2 = 5 cm
Next let's find the midpoint of BC.
- Segment BC: 5.2 cm
- Midpoint of BC: 5.2/2 = 2.6 cm
In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
Therefore, the difference between the midpoints of AB and BC is 2.4 cm.