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anastassius [24]
3 years ago
12

The squid exhibit is located three units east of the Sharks how many units north of the giant octopus is the squid exhibit

Mathematics
1 answer:
seropon [69]3 years ago
7 0

Answer:

The squid exhibit is 2 units north of the giant octopus

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

1) The aquarium entrance is located in the lower left corner of the map

Let

A(0,0) ---> the coordinates of the aquarium entrance in the map

2) From the dot labeled“aquarium entrance”, Dashiell walked 4 units to the right and then 2 units up to get to the giant octopus

Let

B ---> the coordinates of the giant octopus in the map

The x-coordinate of B is equal to 0+4=4 units

The y-coordinate of B is equal to 0+2=2 units

so

Point B(4,2)

3) From the dot labeled “giant octopus”, Dashiell walked 2 units to the left to get to the penguins

Let

C ---> the coordinates of the penguins in the map

The x-coordinate of C is equal to 4-2=2 units

The y-coordinate of C is equal to 2+0=2 units

so

Point C(2,2)

4) From the dot labeled “penguins”, Dashiell walked 2 units up and then 1 unit to the left to get to the sharks

Let

D ---> the coordinates of the sharks in the map

The x-coordinate of D is equal to 2-1=1 units

The y-coordinate of D is equal to 2+2=4 units

so

Point D(1,4)

5) The squid exhibit is located three units east of the Sharks

Let

E ---> the coordinates of the squid exhibit in the map

The x-coordinate of E is equal to 1+3=4 units

The y-coordinate of E is equal to 4+0=4 units

so

Point E(4,4)

we have that

the giant octopus is located at B(4,2)

the squid exhibit is located at E(4,4)

To find out how many units north of the giant octopus is the squid exhibit, subtract the y-coordinate of the giant octopus from the y-coordinate of the squid exhibit

(4-2)=2 units

therefore

The squid exhibit is 2 units north of the giant octopus

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