Using cartesian coordinates concepts such as midpoint and distance between two points, it is found that:
- The location point of the Ferris wheel is (15,24).
- They need to walk 20 units.
- The coordinates of the hotdog stand are (23,8).
- Water ride is at point (3,8).
- Roller coaster is at point (27,40).
- The Ferris wheel is at the midpoint of the water ride and the roller coaster, thus it's coordinates are the <u>mean of their coordinates.</u>


The location point of the Ferris wheel is (15,24).
The distance between two points,
and
is given by:

Here, Tiffany and her sister are at (15,24) while their parents are at (3,8). Thus, their distance is:

They need to walk 20 units.
- Hotdog stand is directly east of the water ride, thus, it has the <u>same y-coordinate, while the x-coordinate is increased</u>.
- The distance is of 20 units, thus:

The coordinates of the hotdog stand are (23,8).
A similar problem is given at brainly.com/question/24352869
Answer:
One-fifth
Step-by-step explanation:
step 1
Find the distance between the origin and the point B
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B(10, –15)
substitute


step 2
Find the distance between the origin and the point B'
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B'(2,-3)
substitute


step 3
Find the scale factor of the dilation
The scale factor is equal to divide the length of segment OB' by the length of segment OB
so

so
One-fifth
(6-8i)
(4+2i) side note : -8i - 2i becomes 8i+2i 2+10i because the negatives cancel out
^^^answer
The 3 in the hundreds place (value of 300) has a value that is 10x the 3 in the tens (value of 30).